Find lim tan -2 16r-32

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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5. Find lim tan
16r-32
6. Does lim exist? If so compute the limit. If not prove it.
7. Does
lim exist? If so compute the limit. If not prove it.
Transcribed Image Text:5. Find lim tan 16r-32 6. Does lim exist? If so compute the limit. If not prove it. 7. Does lim exist? If so compute the limit. If not prove it.
Expert Solution
Step 1

We have to evaluate the limit function:

limx2x2-416x-32π

After putting the value of limit we get that it is 00 form

here it is clear that we just have to factorize the numerator as well as denominator to get the cancellation of same terms.

Using identity a2-b2=a-ba+b,

x2-4=x2-22=x-2x+2

and,

16x-32=16x-2

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