Using L'hopital's Rule evaluate the following derivatives: 5x – 2x lim x→0 7x3 + 3 sin t2 lim 8x2 lim x0 COS x - 1

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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Using L'hopital's Rule evaluate the following derivatives:
5x3
lim
x→0 7x + 3
2x
-
sin t2
lim
8x2
lim
X→0COS x - 1
20 – T
-
lim
0>T/2 COS (2
0)
1 - sin 0
lim
0>T/21 + cos 20
lim
x-o ln (sec x)
t(1 – cos t)
lim-
→0 t - sin t
-
Transcribed Image Text:Using L'hopital's Rule evaluate the following derivatives: 5x3 lim x→0 7x + 3 2x - sin t2 lim 8x2 lim X→0COS x - 1 20 – T - lim 0>T/2 COS (2 0) 1 - sin 0 lim 0>T/21 + cos 20 lim x-o ln (sec x) t(1 – cos t) lim- →0 t - sin t -
Expert Solution
Step 1

If limxx0 f(x)g(x) is of the 00 form then By L'Hospital rule limxx0 f(x)g(x)=limxx0 f'(x)g'(x)If agian limxx0 f'(x)g'(x)is of the 00 form thencontinue the process to get the limit

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