1 This question is about caleulating sin(126y) lim sin(42y) Your friend gave the following solution. Circle the mistakes and explain WHY (a) it is wrong. Work Explanation of Mistakes-WHY is it wrong? (Do not correct.) sin(126y) lim 126y = lim 0 42y = = 3 %3D (b) tion. No Now evaluate the limit correctly and EXPLAIN ALL STEPS of the solu use of L'Hospital's Rule (for those who know wha that is).

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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Question
sin(126g)
lim sin(42y)
11. This question is about calculating
(a) Your friend gave the following solution. Circle the mistakes and explain WHY
it is wrong.
Work
Explanation of Mistakes-WHY is it wrong? (Do not correct.)
sin(126y)
lim
0 sin(42y)
126y
= lim
0 42y
= = 3
%3D
(b) Now evaluate the limit correctly and EXPLAIN ALL STEPS of the solu-
tion. No
that is).
use of L'Hospital's Rule (for those who know what
Transcribed Image Text:sin(126g) lim sin(42y) 11. This question is about calculating (a) Your friend gave the following solution. Circle the mistakes and explain WHY it is wrong. Work Explanation of Mistakes-WHY is it wrong? (Do not correct.) sin(126y) lim 0 sin(42y) 126y = lim 0 42y = = 3 %3D (b) Now evaluate the limit correctly and EXPLAIN ALL STEPS of the solu- tion. No that is). use of L'Hospital's Rule (for those who know what
Expert Solution
Step 1

given:

limy0sin126ysin42y

the first step in the solution that is limy0sin126ysin42y is incorrect because we cannot cancel the trigonometric functions like this since the angles of the trigonometric functions are different.

as the first step is wrong we cannot write the second and third step like this.

 

 

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