sin 5t lim -0 2t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 28RE
Question

Use l’Hôpital’s rule to find the limits

sin 5t
lim
-0 2t
Transcribed Image Text:sin 5t lim -0 2t
Expert Solution
Step 1

To find the limit, limt0sin5t2t using l' Hopital's rule.

Solution:

The given limit is , limt0sin5t2t

the above limit is of form 00, so by l'Hopitals rule, differentiate numerator and denominator separately, we get

limt05cos5t2=5cos02=52

 

 

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