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sin r Consider lim I+0 x +1 (a) Use the l'Hôpital's Rule process to obtain a limiting value of the limit. (b) Use the limit rules and not l'Hôpital's Rule in order to obtain the value of the limit. (c) In a sentence, tell why the result of (a) is wrong.

sin r Consider lim I+0 x +1 (a) Use the l'Hôpital's Rule process to obtain a limiting value of the limit. (b) Use the limit rules and not l'Hôpital's Rule in order to obtain the value of the limit. (c) In a sentence, tell why the result of (a) is wrong.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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sin r - Consider lim I+0 x +1 (a) Use the l'Hôpital's Rule process to obtain a limiting value of the limit. (b) Use the limit rules and not l'Hôpital's Rule in order to obtain the value of the limit. (c) In a sentence, tell why the result of (a) is wrong.
Transcribed Image Text:sin r - Consider lim I+0 x +1 (a) Use the l'Hôpital's Rule process to obtain a limiting value of the limit. (b) Use the limit rules and not l'Hôpital's Rule in order to obtain the value of the limit. (c) In a sentence, tell why the result of (a) is wrong.
Expert Solution
Step 1

a) on applying L-Hospital rule 

than we differentiate upper portion and lower portion separately

lim x- >0 cosx/1 

than put x=0 

we get

cos0/1=1/1=1

than applying L hospital rule we get limit 1

b) here directly put x=0 

than we get 

sin0/0+1=0/1=0

than we get the limit is 0

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