SlideShare a Scribd company logo
1 of 1
Download to read offline
Problem 4. Let f:AR, and let x0 be an accumulation point of A. Prove that if limxx0f exists,
there is an open ball B, centered at x0, for which f is bounded on AB.

More Related Content

More from ahujaelectronics175

Protein X can bind 3 different but similar substrates. Protein Y will.pdf
 Protein X can bind 3 different but similar substrates. Protein Y will.pdf Protein X can bind 3 different but similar substrates. Protein Y will.pdf
Protein X can bind 3 different but similar substrates. Protein Y will.pdfahujaelectronics175
 
Problem 924(120,3,5) In June 2022, Enivique and Denisse Espinosa tiav.pdf
 Problem 924(120,3,5) In June 2022, Enivique and Denisse Espinosa tiav.pdf Problem 924(120,3,5) In June 2022, Enivique and Denisse Espinosa tiav.pdf
Problem 924(120,3,5) In June 2022, Enivique and Denisse Espinosa tiav.pdfahujaelectronics175
 
Problem 4. In a bank, the probability of getting a bad check is is 4.pdf
 Problem 4. In a bank, the probability of getting a bad check is is 4.pdf Problem 4. In a bank, the probability of getting a bad check is is 4.pdf
Problem 4. In a bank, the probability of getting a bad check is is 4.pdfahujaelectronics175
 
Problem 3. A random variable is uniformly distributed on the interval.pdf
 Problem 3. A random variable is uniformly distributed on the interval.pdf Problem 3. A random variable is uniformly distributed on the interval.pdf
Problem 3. A random variable is uniformly distributed on the interval.pdfahujaelectronics175
 
Problem 3 In Evland, potential GDP is E3,000. The table shows Evland.pdf
 Problem 3 In Evland, potential GDP is E3,000. The table shows Evland.pdf Problem 3 In Evland, potential GDP is E3,000. The table shows Evland.pdf
Problem 3 In Evland, potential GDP is E3,000. The table shows Evland.pdfahujaelectronics175
 
Problem 2 struct to hold information about a song struct So.pdf
 Problem 2 struct to hold information about a song struct So.pdf Problem 2 struct to hold information about a song struct So.pdf
Problem 2 struct to hold information about a song struct So.pdfahujaelectronics175
 
Problem 16.96. A coin with with probability p of heads is tossed unti.pdf
 Problem 16.96. A coin with with probability p of heads is tossed unti.pdf Problem 16.96. A coin with with probability p of heads is tossed unti.pdf
Problem 16.96. A coin with with probability p of heads is tossed unti.pdfahujaelectronics175
 
Problem 11. Let X and Y be normal random variables with means 0 and 1.pdf
 Problem 11. Let X and Y be normal random variables with means 0 and 1.pdf Problem 11. Let X and Y be normal random variables with means 0 and 1.pdf
Problem 11. Let X and Y be normal random variables with means 0 and 1.pdfahujaelectronics175
 
Privatization is a form of Government Regulation that serves to stren.pdf
 Privatization is a form of Government Regulation that serves to stren.pdf Privatization is a form of Government Regulation that serves to stren.pdf
Privatization is a form of Government Regulation that serves to stren.pdfahujaelectronics175
 
Population Size Population size is the number of individuals that mak.pdf
 Population Size Population size is the number of individuals that mak.pdf Population Size Population size is the number of individuals that mak.pdf
Population Size Population size is the number of individuals that mak.pdfahujaelectronics175
 
Problem # 5 Let Y1,Y2,�,Yn denote independent and identically distri.pdf
 Problem # 5 Let Y1,Y2,�,Yn denote independent and identically distri.pdf Problem # 5 Let Y1,Y2,�,Yn denote independent and identically distri.pdf
Problem # 5 Let Y1,Y2,�,Yn denote independent and identically distri.pdfahujaelectronics175
 
Pre-laboratory Questions Given the antigen(s) found on the red blood .pdf
 Pre-laboratory Questions Given the antigen(s) found on the red blood .pdf Pre-laboratory Questions Given the antigen(s) found on the red blood .pdf
Pre-laboratory Questions Given the antigen(s) found on the red blood .pdfahujaelectronics175
 
Pink Company has beginning inventory of 24 units at a cost of $12.00 .pdf
 Pink Company has beginning inventory of 24 units at a cost of $12.00 .pdf Pink Company has beginning inventory of 24 units at a cost of $12.00 .pdf
Pink Company has beginning inventory of 24 units at a cost of $12.00 .pdfahujaelectronics175
 
Personal expenses are deductible to the extent that our tax law.pdf
 Personal expenses are deductible to the extent that our tax law.pdf Personal expenses are deductible to the extent that our tax law.pdf
Personal expenses are deductible to the extent that our tax law.pdfahujaelectronics175
 
Pine Valley Furniture utiliza 5 trabajadores que trabajan 8 horas.pdf
 Pine Valley Furniture utiliza 5 trabajadores que trabajan 8 horas.pdf Pine Valley Furniture utiliza 5 trabajadores que trabajan 8 horas.pdf
Pine Valley Furniture utiliza 5 trabajadores que trabajan 8 horas.pdfahujaelectronics175
 
Posterior View Name this vertebra and the give the feature most usefu.pdf
 Posterior View Name this vertebra and the give the feature most usefu.pdf Posterior View Name this vertebra and the give the feature most usefu.pdf
Posterior View Name this vertebra and the give the feature most usefu.pdfahujaelectronics175
 
Pointer Draperies makes and sells curtains, Information related to is.pdf
 Pointer Draperies makes and sells curtains, Information related to is.pdf Pointer Draperies makes and sells curtains, Information related to is.pdf
Pointer Draperies makes and sells curtains, Information related to is.pdfahujaelectronics175
 
por favor responde estas preguntas 1) durante el per�odo cret�ce.pdf
 por favor responde estas preguntas 1) durante el per�odo cret�ce.pdf por favor responde estas preguntas 1) durante el per�odo cret�ce.pdf
por favor responde estas preguntas 1) durante el per�odo cret�ce.pdfahujaelectronics175
 
please help me answer this This homework is about the Author Dante Al.pdf
 please help me answer this This homework is about the Author Dante Al.pdf please help me answer this This homework is about the Author Dante Al.pdf
please help me answer this This homework is about the Author Dante Al.pdfahujaelectronics175
 
Police powers allow states to regulate interstate commerce. regulate.pdf
 Police powers allow states to regulate interstate commerce. regulate.pdf Police powers allow states to regulate interstate commerce. regulate.pdf
Police powers allow states to regulate interstate commerce. regulate.pdfahujaelectronics175
 

More from ahujaelectronics175 (20)

Protein X can bind 3 different but similar substrates. Protein Y will.pdf
 Protein X can bind 3 different but similar substrates. Protein Y will.pdf Protein X can bind 3 different but similar substrates. Protein Y will.pdf
Protein X can bind 3 different but similar substrates. Protein Y will.pdf
 
Problem 924(120,3,5) In June 2022, Enivique and Denisse Espinosa tiav.pdf
 Problem 924(120,3,5) In June 2022, Enivique and Denisse Espinosa tiav.pdf Problem 924(120,3,5) In June 2022, Enivique and Denisse Espinosa tiav.pdf
Problem 924(120,3,5) In June 2022, Enivique and Denisse Espinosa tiav.pdf
 
Problem 4. In a bank, the probability of getting a bad check is is 4.pdf
 Problem 4. In a bank, the probability of getting a bad check is is 4.pdf Problem 4. In a bank, the probability of getting a bad check is is 4.pdf
Problem 4. In a bank, the probability of getting a bad check is is 4.pdf
 
Problem 3. A random variable is uniformly distributed on the interval.pdf
 Problem 3. A random variable is uniformly distributed on the interval.pdf Problem 3. A random variable is uniformly distributed on the interval.pdf
Problem 3. A random variable is uniformly distributed on the interval.pdf
 
Problem 3 In Evland, potential GDP is E3,000. The table shows Evland.pdf
 Problem 3 In Evland, potential GDP is E3,000. The table shows Evland.pdf Problem 3 In Evland, potential GDP is E3,000. The table shows Evland.pdf
Problem 3 In Evland, potential GDP is E3,000. The table shows Evland.pdf
 
Problem 2 struct to hold information about a song struct So.pdf
 Problem 2 struct to hold information about a song struct So.pdf Problem 2 struct to hold information about a song struct So.pdf
Problem 2 struct to hold information about a song struct So.pdf
 
Problem 16.96. A coin with with probability p of heads is tossed unti.pdf
 Problem 16.96. A coin with with probability p of heads is tossed unti.pdf Problem 16.96. A coin with with probability p of heads is tossed unti.pdf
Problem 16.96. A coin with with probability p of heads is tossed unti.pdf
 
Problem 11. Let X and Y be normal random variables with means 0 and 1.pdf
 Problem 11. Let X and Y be normal random variables with means 0 and 1.pdf Problem 11. Let X and Y be normal random variables with means 0 and 1.pdf
Problem 11. Let X and Y be normal random variables with means 0 and 1.pdf
 
Privatization is a form of Government Regulation that serves to stren.pdf
 Privatization is a form of Government Regulation that serves to stren.pdf Privatization is a form of Government Regulation that serves to stren.pdf
Privatization is a form of Government Regulation that serves to stren.pdf
 
Population Size Population size is the number of individuals that mak.pdf
 Population Size Population size is the number of individuals that mak.pdf Population Size Population size is the number of individuals that mak.pdf
Population Size Population size is the number of individuals that mak.pdf
 
Problem # 5 Let Y1,Y2,�,Yn denote independent and identically distri.pdf
 Problem # 5 Let Y1,Y2,�,Yn denote independent and identically distri.pdf Problem # 5 Let Y1,Y2,�,Yn denote independent and identically distri.pdf
Problem # 5 Let Y1,Y2,�,Yn denote independent and identically distri.pdf
 
Pre-laboratory Questions Given the antigen(s) found on the red blood .pdf
 Pre-laboratory Questions Given the antigen(s) found on the red blood .pdf Pre-laboratory Questions Given the antigen(s) found on the red blood .pdf
Pre-laboratory Questions Given the antigen(s) found on the red blood .pdf
 
Pink Company has beginning inventory of 24 units at a cost of $12.00 .pdf
 Pink Company has beginning inventory of 24 units at a cost of $12.00 .pdf Pink Company has beginning inventory of 24 units at a cost of $12.00 .pdf
Pink Company has beginning inventory of 24 units at a cost of $12.00 .pdf
 
Personal expenses are deductible to the extent that our tax law.pdf
 Personal expenses are deductible to the extent that our tax law.pdf Personal expenses are deductible to the extent that our tax law.pdf
Personal expenses are deductible to the extent that our tax law.pdf
 
Pine Valley Furniture utiliza 5 trabajadores que trabajan 8 horas.pdf
 Pine Valley Furniture utiliza 5 trabajadores que trabajan 8 horas.pdf Pine Valley Furniture utiliza 5 trabajadores que trabajan 8 horas.pdf
Pine Valley Furniture utiliza 5 trabajadores que trabajan 8 horas.pdf
 
Posterior View Name this vertebra and the give the feature most usefu.pdf
 Posterior View Name this vertebra and the give the feature most usefu.pdf Posterior View Name this vertebra and the give the feature most usefu.pdf
Posterior View Name this vertebra and the give the feature most usefu.pdf
 
Pointer Draperies makes and sells curtains, Information related to is.pdf
 Pointer Draperies makes and sells curtains, Information related to is.pdf Pointer Draperies makes and sells curtains, Information related to is.pdf
Pointer Draperies makes and sells curtains, Information related to is.pdf
 
por favor responde estas preguntas 1) durante el per�odo cret�ce.pdf
 por favor responde estas preguntas 1) durante el per�odo cret�ce.pdf por favor responde estas preguntas 1) durante el per�odo cret�ce.pdf
por favor responde estas preguntas 1) durante el per�odo cret�ce.pdf
 
please help me answer this This homework is about the Author Dante Al.pdf
 please help me answer this This homework is about the Author Dante Al.pdf please help me answer this This homework is about the Author Dante Al.pdf
please help me answer this This homework is about the Author Dante Al.pdf
 
Police powers allow states to regulate interstate commerce. regulate.pdf
 Police powers allow states to regulate interstate commerce. regulate.pdf Police powers allow states to regulate interstate commerce. regulate.pdf
Police powers allow states to regulate interstate commerce. regulate.pdf
 

Recently uploaded

Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptxVS Mahajan Coaching Centre
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfciinovamais
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdfQucHHunhnh
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpinRaunakKeshri1
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDThiyagu K
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactPECB
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsTechSoup
 
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...anjaliyadav012327
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionSafetyChain Software
 
Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)eniolaolutunde
 
Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3JemimahLaneBuaron
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAssociation for Project Management
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Sapana Sha
 
Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Celine George
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfchloefrazer622
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesFatimaKhan178732
 
Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Disha Kariya
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxSayali Powar
 

Recently uploaded (20)

Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpin
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The Basics
 
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory Inspection
 
Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)
 
Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3
 
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptxINDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across Sectors
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
 
Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17
 
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdf
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and Actinides
 
Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..Sports & Fitness Value Added Course FY..
Sports & Fitness Value Added Course FY..
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
 

Problem 4. Let fAR, and let x0 be an accumulation point of A. Prove .pdf

  • 1. Problem 4. Let f:AR, and let x0 be an accumulation point of A. Prove that if limxx0f exists, there is an open ball B, centered at x0, for which f is bounded on AB.