SlideShare a Scribd company logo
LIMITS (VIDEO)/
NATA MATHS/
GRADE 11 MATHS-
2019
โ–  This channel has math videos for grades 11, 12, engineering /graduate
mathematics and the GRE QUANTITATIVE section.
โ–  Consider subscribing to this channel and hit the bell so you get notifications
each time a new video is published.
โ–  Visit my page https://www.mathmadeeasy.co/lessons
โ–  This video is problem oriented.
โ–  Feel free to send me your queries.
โ–  We learn the concept of limits and left hand and right hand limits.
โ–  There are 8 problems. Problem 1 and 2 are simple substitution problems on
limits.
โ–  Problems 3 and 4 involve rationalisation and factorisation.
โ–  Problems 5 and 6 discuss the concept of uniqueness of a limit.
โ–  The last section deals with trigonometric limits and the basic formulae used.
Question 1
Question 2
Question 3
Question 4
Question 5
.
Question 6
Question 7
Question 8
Question 8
Topics learnt
โ–  Concept of limits and left hand and right hand limits.
โ–  Simple substitution and algebra of limits.
โ–  Trigonometric limits and how to evaluate them.
โ–  Consider subscribing to my channel.
โ–  Visit my page https://www.mathmadeeasy.co/lessons
โ–  I would love to hear your feedback.
STRATEGY FOR LIMITS

More Related Content

More from sumanmathews

Introduction to Continuity - Class 12 Maths- ISC-CBSE
Introduction to Continuity - Class 12 Maths- ISC-CBSEIntroduction to Continuity - Class 12 Maths- ISC-CBSE
Introduction to Continuity - Class 12 Maths- ISC-CBSE
sumanmathews
ย 
Secrets of solving a PDE-College math
Secrets of solving a PDE-College mathSecrets of solving a PDE-College math
Secrets of solving a PDE-College math
sumanmathews
ย 
Shares and dividend -Part 2-Class 10 math
Shares and dividend -Part 2-Class 10 mathShares and dividend -Part 2-Class 10 math
Shares and dividend -Part 2-Class 10 math
sumanmathews
ย 
Shares and dividend _Class 10 mathematics_ICSE
Shares and dividend _Class 10 mathematics_ICSEShares and dividend _Class 10 mathematics_ICSE
Shares and dividend _Class 10 mathematics_ICSE
sumanmathews
ย 
Prefix codes in graph theory-College math
Prefix codes in graph theory-College mathPrefix codes in graph theory-College math
Prefix codes in graph theory-College math
sumanmathews
ย 
Trigonometry formulas for class 11
Trigonometry formulas for class 11Trigonometry formulas for class 11
Trigonometry formulas for class 11
sumanmathews
ย 
Formulas for system of equations matrix form
Formulas for system of equations matrix formFormulas for system of equations matrix form
Formulas for system of equations matrix form
sumanmathews
ย 
Reducing matrices to normal form: College math
Reducing matrices to normal form: College mathReducing matrices to normal form: College math
Reducing matrices to normal form: College math
sumanmathews
ย 
Relations and functions class 12 formulas
Relations and functions class 12 formulasRelations and functions class 12 formulas
Relations and functions class 12 formulas
sumanmathews
ย 
Formulas of Probability :Class 12 maths
Formulas of Probability :Class 12 mathsFormulas of Probability :Class 12 maths
Formulas of Probability :Class 12 maths
sumanmathews
ย 
Permutations formula for Class 11 maths
Permutations formula for Class 11 mathsPermutations formula for Class 11 maths
Permutations formula for Class 11 maths
sumanmathews
ย 
Basic Concepts of Probability
Basic Concepts of ProbabilityBasic Concepts of Probability
Basic Concepts of Probability
sumanmathews
ย 
Permutations of distinct objects
Permutations of distinct objects Permutations of distinct objects
Permutations of distinct objects
sumanmathews
ย 
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering MathsNewton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
sumanmathews
ย 
Engineering maths/Exact Differential equations
Engineering maths/Exact Differential equationsEngineering maths/Exact Differential equations
Engineering maths/Exact Differential equations
sumanmathews
ย 
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKSGRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
sumanmathews
ย 
APPROXIMATIONS IN DERIVATIVES
APPROXIMATIONS IN DERIVATIVESAPPROXIMATIONS IN DERIVATIVES
APPROXIMATIONS IN DERIVATIVES
sumanmathews
ย 
TYPES OF PARABOLA
TYPES OF PARABOLATYPES OF PARABOLA
TYPES OF PARABOLA
sumanmathews
ย 
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIXEQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
sumanmathews
ย 
HOW TO DRAW GRAPHS OF FUNCTIONS
HOW TO DRAW GRAPHS OF FUNCTIONSHOW TO DRAW GRAPHS OF FUNCTIONS
HOW TO DRAW GRAPHS OF FUNCTIONS
sumanmathews
ย 

More from sumanmathews (20)

Introduction to Continuity - Class 12 Maths- ISC-CBSE
Introduction to Continuity - Class 12 Maths- ISC-CBSEIntroduction to Continuity - Class 12 Maths- ISC-CBSE
Introduction to Continuity - Class 12 Maths- ISC-CBSE
ย 
Secrets of solving a PDE-College math
Secrets of solving a PDE-College mathSecrets of solving a PDE-College math
Secrets of solving a PDE-College math
ย 
Shares and dividend -Part 2-Class 10 math
Shares and dividend -Part 2-Class 10 mathShares and dividend -Part 2-Class 10 math
Shares and dividend -Part 2-Class 10 math
ย 
Shares and dividend _Class 10 mathematics_ICSE
Shares and dividend _Class 10 mathematics_ICSEShares and dividend _Class 10 mathematics_ICSE
Shares and dividend _Class 10 mathematics_ICSE
ย 
Prefix codes in graph theory-College math
Prefix codes in graph theory-College mathPrefix codes in graph theory-College math
Prefix codes in graph theory-College math
ย 
Trigonometry formulas for class 11
Trigonometry formulas for class 11Trigonometry formulas for class 11
Trigonometry formulas for class 11
ย 
Formulas for system of equations matrix form
Formulas for system of equations matrix formFormulas for system of equations matrix form
Formulas for system of equations matrix form
ย 
Reducing matrices to normal form: College math
Reducing matrices to normal form: College mathReducing matrices to normal form: College math
Reducing matrices to normal form: College math
ย 
Relations and functions class 12 formulas
Relations and functions class 12 formulasRelations and functions class 12 formulas
Relations and functions class 12 formulas
ย 
Formulas of Probability :Class 12 maths
Formulas of Probability :Class 12 mathsFormulas of Probability :Class 12 maths
Formulas of Probability :Class 12 maths
ย 
Permutations formula for Class 11 maths
Permutations formula for Class 11 mathsPermutations formula for Class 11 maths
Permutations formula for Class 11 maths
ย 
Basic Concepts of Probability
Basic Concepts of ProbabilityBasic Concepts of Probability
Basic Concepts of Probability
ย 
Permutations of distinct objects
Permutations of distinct objects Permutations of distinct objects
Permutations of distinct objects
ย 
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering MathsNewton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
ย 
Engineering maths/Exact Differential equations
Engineering maths/Exact Differential equationsEngineering maths/Exact Differential equations
Engineering maths/Exact Differential equations
ย 
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKSGRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
ย 
APPROXIMATIONS IN DERIVATIVES
APPROXIMATIONS IN DERIVATIVESAPPROXIMATIONS IN DERIVATIVES
APPROXIMATIONS IN DERIVATIVES
ย 
TYPES OF PARABOLA
TYPES OF PARABOLATYPES OF PARABOLA
TYPES OF PARABOLA
ย 
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIXEQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
EQUATION OF A PARABOLA FROM THE VERTEX AND DIRECTRIX
ย 
HOW TO DRAW GRAPHS OF FUNCTIONS
HOW TO DRAW GRAPHS OF FUNCTIONSHOW TO DRAW GRAPHS OF FUNCTIONS
HOW TO DRAW GRAPHS OF FUNCTIONS
ย 

Recently uploaded

Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) CurriculumPhilippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
MJDuyan
ย 
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
PsychoTech Services
ย 
How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17
Celine George
ย 
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
Nguyen Thanh Tu Collection
ย 
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit InnovationLeveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
TechSoup
ย 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
iammrhaywood
ย 
Temple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation resultsTemple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation results
Krassimira Luka
ย 
writing about opinions about Australia the movie
writing about opinions about Australia the moviewriting about opinions about Australia the movie
writing about opinions about Australia the movie
Nicholas Montgomery
ย 
Advanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docxAdvanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docx
adhitya5119
ย 
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
imrankhan141184
ย 
MARY JANE WILSON, A โ€œBOA MรƒEโ€ .
MARY JANE WILSON, A โ€œBOA MรƒEโ€           .MARY JANE WILSON, A โ€œBOA MรƒEโ€           .
MARY JANE WILSON, A โ€œBOA MรƒEโ€ .
Colรฉgio Santa Teresinha
ย 
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdfLiberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
WaniBasim
ย 
How to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 InventoryHow to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 Inventory
Celine George
ย 
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
Wahiba Chair Training & Consulting
ย 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
Dr. Mulla Adam Ali
ย 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
GeorgeMilliken2
ย 
Main Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docxMain Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docx
adhitya5119
ย 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
mulvey2
ย 
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Leena Ghag-Sakpal
ย 
ZK on Polkadot zero knowledge proofs - sub0.pptx
ZK on Polkadot zero knowledge proofs - sub0.pptxZK on Polkadot zero knowledge proofs - sub0.pptx
ZK on Polkadot zero knowledge proofs - sub0.pptx
dot55audits
ย 

Recently uploaded (20)

Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) CurriculumPhilippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
ย 
Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...Gender and Mental Health - Counselling and Family Therapy Applications and In...
Gender and Mental Health - Counselling and Family Therapy Applications and In...
ย 
How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17
ย 
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
Bร€I TแบฌP Bแป” TRแปข TIแบพNG ANH LแปšP 9 Cแบข Nฤ‚M - GLOBAL SUCCESS - Nฤ‚M HแปŒC 2024-2025 - ...
ย 
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit InnovationLeveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
ย 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
ย 
Temple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation resultsTemple of Asclepius in Thrace. Excavation results
Temple of Asclepius in Thrace. Excavation results
ย 
writing about opinions about Australia the movie
writing about opinions about Australia the moviewriting about opinions about Australia the movie
writing about opinions about Australia the movie
ย 
Advanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docxAdvanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docx
ย 
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
ย 
MARY JANE WILSON, A โ€œBOA MรƒEโ€ .
MARY JANE WILSON, A โ€œBOA MรƒEโ€           .MARY JANE WILSON, A โ€œBOA MรƒEโ€           .
MARY JANE WILSON, A โ€œBOA MรƒEโ€ .
ย 
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdfLiberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
ย 
How to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 InventoryHow to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 Inventory
ย 
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
ย 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
ย 
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
ย 
Main Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docxMain Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docx
ย 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
ย 
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
ย 
ZK on Polkadot zero knowledge proofs - sub0.pptx
ZK on Polkadot zero knowledge proofs - sub0.pptxZK on Polkadot zero knowledge proofs - sub0.pptx
ZK on Polkadot zero knowledge proofs - sub0.pptx
ย 

STRATEGY FOR LIMITS

  • 1.
  • 3. โ–  This channel has math videos for grades 11, 12, engineering /graduate mathematics and the GRE QUANTITATIVE section. โ–  Consider subscribing to this channel and hit the bell so you get notifications each time a new video is published. โ–  Visit my page https://www.mathmadeeasy.co/lessons โ–  This video is problem oriented. โ–  Feel free to send me your queries.
  • 4. โ–  We learn the concept of limits and left hand and right hand limits. โ–  There are 8 problems. Problem 1 and 2 are simple substitution problems on limits. โ–  Problems 3 and 4 involve rationalisation and factorisation. โ–  Problems 5 and 6 discuss the concept of uniqueness of a limit. โ–  The last section deals with trigonometric limits and the basic formulae used.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 11.
  • 12.
  • 14.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 22.
  • 23.
  • 24.
  • 26.
  • 27.
  • 28. .
  • 30.
  • 31.
  • 32.
  • 34.
  • 36.
  • 37.
  • 39.
  • 40.
  • 41. Topics learnt โ–  Concept of limits and left hand and right hand limits. โ–  Simple substitution and algebra of limits. โ–  Trigonometric limits and how to evaluate them.
  • 42. โ–  Consider subscribing to my channel. โ–  Visit my page https://www.mathmadeeasy.co/lessons โ–  I would love to hear your feedback.