SlideShare a Scribd company logo
I got 0 Limx rightarrow 0 + [lnx]sinx
Solution
as lim x->0 we have ln(0+) tends to negative infinity and sinx tends to zero
so we have *0 form
we multiply and divide by x
lim x->0 (xlnx)*(sinx/x)
we know as x->0+ sinx/x ->1
we need to determine where xlnx will go
limx->0+ xlnx = limx->0+(lnx/(1/x))
apply L-hospital rule = limx->0+ (1/x)/(-1/x^2) = limx->0+ -x
so it tends to 0
so product
limx->0+ ln(x) sinx = limx->0+ (xlnx)*(sinx/x) = 1*0 = 0
so yes you are correct

More Related Content

More from amiteksecurity

I had heard that, at the start of the Great Depression, JP Morgan an.pdf
I had heard that, at the start of the Great Depression, JP Morgan an.pdfI had heard that, at the start of the Great Depression, JP Morgan an.pdf
I had heard that, at the start of the Great Depression, JP Morgan an.pdf
amiteksecurity
 
I gotdydx = x2 -2y                2y + dy =x2 dx              y =.pdf
I gotdydx = x2 -2y                2y + dy =x2 dx              y =.pdfI gotdydx = x2 -2y                2y + dy =x2 dx              y =.pdf
I gotdydx = x2 -2y                2y + dy =x2 dx              y =.pdf
amiteksecurity
 
i got this so far but when i put it in its showing that it is wrong .pdf
i got this so far but when i put it in its showing that it is wrong .pdfi got this so far but when i put it in its showing that it is wrong .pdf
i got this so far but when i put it in its showing that it is wrong .pdf
amiteksecurity
 
I dont understand what I marked at the figure belowhow he know t.pdf
I dont understand what I marked at the figure belowhow he know t.pdfI dont understand what I marked at the figure belowhow he know t.pdf
I dont understand what I marked at the figure belowhow he know t.pdf
amiteksecurity
 
I am working on the project using matrix transformations. All of a s.pdf
I am working on the project using matrix transformations. All of a s.pdfI am working on the project using matrix transformations. All of a s.pdf
I am working on the project using matrix transformations. All of a s.pdf
amiteksecurity
 
I could use some help symbolizing these sentences, I have doubts abo.pdf
I could use some help symbolizing these sentences, I have doubts abo.pdfI could use some help symbolizing these sentences, I have doubts abo.pdf
I could use some help symbolizing these sentences, I have doubts abo.pdf
amiteksecurity
 
I claim I can double your investment in two years. What monthly rate.pdf
I claim I can double your investment in two years. What monthly rate.pdfI claim I can double your investment in two years. What monthly rate.pdf
I claim I can double your investment in two years. What monthly rate.pdf
amiteksecurity
 
I cant understand how the es have disappeared. how did that ha.pdf
I cant understand how the es have disappeared. how did that ha.pdfI cant understand how the es have disappeared. how did that ha.pdf
I cant understand how the es have disappeared. how did that ha.pdf
amiteksecurity
 
I cant find tha answers of some questions in chapter 5 for Financi.pdf
I cant find tha answers of some questions in chapter 5 for Financi.pdfI cant find tha answers of some questions in chapter 5 for Financi.pdf
I cant find tha answers of some questions in chapter 5 for Financi.pdf
amiteksecurity
 
I can not tell figure out what the hypothesis is. I am so confused, .pdf
I can not tell figure out what the hypothesis is. I am so confused, .pdfI can not tell figure out what the hypothesis is. I am so confused, .pdf
I can not tell figure out what the hypothesis is. I am so confused, .pdf
amiteksecurity
 
I borrow $100 frrom the bank for one year at 6 simple interest. How.pdf
I borrow $100 frrom the bank for one year at 6 simple interest. How.pdfI borrow $100 frrom the bank for one year at 6 simple interest. How.pdf
I borrow $100 frrom the bank for one year at 6 simple interest. How.pdf
amiteksecurity
 
I bought a box of candyfor myself last week. However, by the time I .pdf
I bought a box of candyfor myself last week. However, by the time I .pdfI bought a box of candyfor myself last week. However, by the time I .pdf
I bought a box of candyfor myself last week. However, by the time I .pdf
amiteksecurity
 
I appreciate any answer. Thank you. For each of the following descri.pdf
I appreciate any answer. Thank you. For each of the following descri.pdfI appreciate any answer. Thank you. For each of the following descri.pdf
I appreciate any answer. Thank you. For each of the following descri.pdf
amiteksecurity
 
I am writing a program that implements the Optimal Binary Search Tre.pdf
I am writing a program that implements the Optimal Binary Search Tre.pdfI am writing a program that implements the Optimal Binary Search Tre.pdf
I am writing a program that implements the Optimal Binary Search Tre.pdf
amiteksecurity
 
I am studying for finals and I am having a rough time with this...pl.pdf
I am studying for finals and I am having a rough time with this...pl.pdfI am studying for finals and I am having a rough time with this...pl.pdf
I am studying for finals and I am having a rough time with this...pl.pdf
amiteksecurity
 
I am stuck on how on how to even begin this one. Thanks )Soluti.pdf
I am stuck on how on how to even begin this one. Thanks )Soluti.pdfI am stuck on how on how to even begin this one. Thanks )Soluti.pdf
I am stuck on how on how to even begin this one. Thanks )Soluti.pdf
amiteksecurity
 
I am working on a Supply Chain problem and I am struggling to find t.pdf
I am working on a Supply Chain problem and I am struggling to find t.pdfI am working on a Supply Chain problem and I am struggling to find t.pdf
I am working on a Supply Chain problem and I am struggling to find t.pdf
amiteksecurity
 
I am working on a project for stats class. IIn a survery of 40 peo.pdf
I am working on a project for stats class. IIn a survery of 40 peo.pdfI am working on a project for stats class. IIn a survery of 40 peo.pdf
I am working on a project for stats class. IIn a survery of 40 peo.pdf
amiteksecurity
 
I am not sure how to explain figure 1 part b Why do i get a positiv.pdf
I am not sure how to explain figure 1 part b Why do i get a positiv.pdfI am not sure how to explain figure 1 part b Why do i get a positiv.pdf
I am not sure how to explain figure 1 part b Why do i get a positiv.pdf
amiteksecurity
 

More from amiteksecurity (19)

I had heard that, at the start of the Great Depression, JP Morgan an.pdf
I had heard that, at the start of the Great Depression, JP Morgan an.pdfI had heard that, at the start of the Great Depression, JP Morgan an.pdf
I had heard that, at the start of the Great Depression, JP Morgan an.pdf
 
I gotdydx = x2 -2y                2y + dy =x2 dx              y =.pdf
I gotdydx = x2 -2y                2y + dy =x2 dx              y =.pdfI gotdydx = x2 -2y                2y + dy =x2 dx              y =.pdf
I gotdydx = x2 -2y                2y + dy =x2 dx              y =.pdf
 
i got this so far but when i put it in its showing that it is wrong .pdf
i got this so far but when i put it in its showing that it is wrong .pdfi got this so far but when i put it in its showing that it is wrong .pdf
i got this so far but when i put it in its showing that it is wrong .pdf
 
I dont understand what I marked at the figure belowhow he know t.pdf
I dont understand what I marked at the figure belowhow he know t.pdfI dont understand what I marked at the figure belowhow he know t.pdf
I dont understand what I marked at the figure belowhow he know t.pdf
 
I am working on the project using matrix transformations. All of a s.pdf
I am working on the project using matrix transformations. All of a s.pdfI am working on the project using matrix transformations. All of a s.pdf
I am working on the project using matrix transformations. All of a s.pdf
 
I could use some help symbolizing these sentences, I have doubts abo.pdf
I could use some help symbolizing these sentences, I have doubts abo.pdfI could use some help symbolizing these sentences, I have doubts abo.pdf
I could use some help symbolizing these sentences, I have doubts abo.pdf
 
I claim I can double your investment in two years. What monthly rate.pdf
I claim I can double your investment in two years. What monthly rate.pdfI claim I can double your investment in two years. What monthly rate.pdf
I claim I can double your investment in two years. What monthly rate.pdf
 
I cant understand how the es have disappeared. how did that ha.pdf
I cant understand how the es have disappeared. how did that ha.pdfI cant understand how the es have disappeared. how did that ha.pdf
I cant understand how the es have disappeared. how did that ha.pdf
 
I cant find tha answers of some questions in chapter 5 for Financi.pdf
I cant find tha answers of some questions in chapter 5 for Financi.pdfI cant find tha answers of some questions in chapter 5 for Financi.pdf
I cant find tha answers of some questions in chapter 5 for Financi.pdf
 
I can not tell figure out what the hypothesis is. I am so confused, .pdf
I can not tell figure out what the hypothesis is. I am so confused, .pdfI can not tell figure out what the hypothesis is. I am so confused, .pdf
I can not tell figure out what the hypothesis is. I am so confused, .pdf
 
I borrow $100 frrom the bank for one year at 6 simple interest. How.pdf
I borrow $100 frrom the bank for one year at 6 simple interest. How.pdfI borrow $100 frrom the bank for one year at 6 simple interest. How.pdf
I borrow $100 frrom the bank for one year at 6 simple interest. How.pdf
 
I bought a box of candyfor myself last week. However, by the time I .pdf
I bought a box of candyfor myself last week. However, by the time I .pdfI bought a box of candyfor myself last week. However, by the time I .pdf
I bought a box of candyfor myself last week. However, by the time I .pdf
 
I appreciate any answer. Thank you. For each of the following descri.pdf
I appreciate any answer. Thank you. For each of the following descri.pdfI appreciate any answer. Thank you. For each of the following descri.pdf
I appreciate any answer. Thank you. For each of the following descri.pdf
 
I am writing a program that implements the Optimal Binary Search Tre.pdf
I am writing a program that implements the Optimal Binary Search Tre.pdfI am writing a program that implements the Optimal Binary Search Tre.pdf
I am writing a program that implements the Optimal Binary Search Tre.pdf
 
I am studying for finals and I am having a rough time with this...pl.pdf
I am studying for finals and I am having a rough time with this...pl.pdfI am studying for finals and I am having a rough time with this...pl.pdf
I am studying for finals and I am having a rough time with this...pl.pdf
 
I am stuck on how on how to even begin this one. Thanks )Soluti.pdf
I am stuck on how on how to even begin this one. Thanks )Soluti.pdfI am stuck on how on how to even begin this one. Thanks )Soluti.pdf
I am stuck on how on how to even begin this one. Thanks )Soluti.pdf
 
I am working on a Supply Chain problem and I am struggling to find t.pdf
I am working on a Supply Chain problem and I am struggling to find t.pdfI am working on a Supply Chain problem and I am struggling to find t.pdf
I am working on a Supply Chain problem and I am struggling to find t.pdf
 
I am working on a project for stats class. IIn a survery of 40 peo.pdf
I am working on a project for stats class. IIn a survery of 40 peo.pdfI am working on a project for stats class. IIn a survery of 40 peo.pdf
I am working on a project for stats class. IIn a survery of 40 peo.pdf
 
I am not sure how to explain figure 1 part b Why do i get a positiv.pdf
I am not sure how to explain figure 1 part b Why do i get a positiv.pdfI am not sure how to explain figure 1 part b Why do i get a positiv.pdf
I am not sure how to explain figure 1 part b Why do i get a positiv.pdf
 

Recently uploaded

BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
Nguyen Thanh Tu Collection
 
Normal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of LabourNormal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of Labour
Wasim Ak
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
Peter Windle
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
vaibhavrinwa19
 
The French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free downloadThe French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free download
Vivekanand Anglo Vedic Academy
 
Embracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic ImperativeEmbracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic Imperative
Peter Windle
 
A Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptxA Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptx
thanhdowork
 
S1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptxS1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptx
tarandeep35
 
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup   New Member Orientation and Q&A (May 2024).pdfWelcome to TechSoup   New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
TechSoup
 
Digital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and ResearchDigital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and Research
Vikramjit Singh
 
Unit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdfUnit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdf
Thiyagu K
 
Synthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptxSynthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptx
Pavel ( NSTU)
 
How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17
Celine George
 
Marketing internship report file for MBA
Marketing internship report file for MBAMarketing internship report file for MBA
Marketing internship report file for MBA
gb193092
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
siemaillard
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
heathfieldcps1
 
Best Digital Marketing Institute In NOIDA
Best Digital Marketing Institute In NOIDABest Digital Marketing Institute In NOIDA
Best Digital Marketing Institute In NOIDA
deeptiverma2406
 
The Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official PublicationThe Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official Publication
Delapenabediema
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
Jisc
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
TechSoup
 

Recently uploaded (20)

BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
 
Normal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of LabourNormal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of Labour
 
A Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in EducationA Strategic Approach: GenAI in Education
A Strategic Approach: GenAI in Education
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
 
The French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free downloadThe French Revolution Class 9 Study Material pdf free download
The French Revolution Class 9 Study Material pdf free download
 
Embracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic ImperativeEmbracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic Imperative
 
A Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptxA Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptx
 
S1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptxS1-Introduction-Biopesticides in ICM.pptx
S1-Introduction-Biopesticides in ICM.pptx
 
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup   New Member Orientation and Q&A (May 2024).pdfWelcome to TechSoup   New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
 
Digital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and ResearchDigital Tools and AI for Teaching Learning and Research
Digital Tools and AI for Teaching Learning and Research
 
Unit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdfUnit 8 - Information and Communication Technology (Paper I).pdf
Unit 8 - Information and Communication Technology (Paper I).pdf
 
Synthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptxSynthetic Fiber Construction in lab .pptx
Synthetic Fiber Construction in lab .pptx
 
How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17
 
Marketing internship report file for MBA
Marketing internship report file for MBAMarketing internship report file for MBA
Marketing internship report file for MBA
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
 
Best Digital Marketing Institute In NOIDA
Best Digital Marketing Institute In NOIDABest Digital Marketing Institute In NOIDA
Best Digital Marketing Institute In NOIDA
 
The Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official PublicationThe Challenger.pdf DNHS Official Publication
The Challenger.pdf DNHS Official Publication
 
Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
 

I got 0 Limx rightarrow 0 + [lnx]sinxSolutionas lim x-0 we ha.pdf

  • 1. I got 0 Limx rightarrow 0 + [lnx]sinx Solution as lim x->0 we have ln(0+) tends to negative infinity and sinx tends to zero so we have *0 form we multiply and divide by x lim x->0 (xlnx)*(sinx/x) we know as x->0+ sinx/x ->1 we need to determine where xlnx will go limx->0+ xlnx = limx->0+(lnx/(1/x)) apply L-hospital rule = limx->0+ (1/x)/(-1/x^2) = limx->0+ -x so it tends to 0 so product limx->0+ ln(x) sinx = limx->0+ (xlnx)*(sinx/x) = 1*0 = 0 so yes you are correct