3Cos 0-3Use l'Hôpital's rule to find the limit of lim50003Cos-3limcos 050%3D

Answered: 3Cos-3 Cos 0 Use l'Hôpital's rule to…

Math

Calculus

3Cos-3 Cos 0 Use l'Hôpital's rule to find the limit of lim 50

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 8E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

100%

3Cos 0
-3
Use l'Hôpital's rule to find the limit of lim
50
00
3Cos-3
lim
cos 0
50
%3D

Expert Solution

Step 1

$G i v e n, \lim_{θ \to 0} (\frac{3^{\cos (θ)} - 3}{5 θ})$

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$Limits and Continuity$

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