lim Cos (40)-1 846 Sin (18)

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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lim Cos (40)-1
046
Sin (78)
Transcribed Image Text:lim Cos (40)-1 046 Sin (78)
Expert Solution
Step 1

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\lim _{\theta \to 0}\left(\frac{\cos \left(4\theta \right)-1}{\sin \left(7\theta \right)}\right)

use L'Hopital's rule 

=\lim _{\theta \to 0}\left(\frac{\frac{d}{d\theta }\left(\cos \left(4\theta \right)-1\right)}{\frac{d}{d\theta }\left(\sin \left(7\theta \right)\right)}\right)

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