Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it.tan(8x)limx-0 sin(5x)Step 1As x- 0, tan(8x) -0and sin(5x) - 0Step 2tan(8x)x-0 sin(5x)Therefore limis indeterminate of typeWe must use l'Hospital's Rule. The derivative of tan(8x) isand the derivative of sin(5x) is

We are given to find the limit of limx→0 tan(8x)sin(5x); and we have to make use of L hospital rule…

Answered: tan(8x) x-0 sin(5x) is indeterminate of…

tan(8x) x-0 sin(5x) is indeterminate of type Therefore lim We must use l'Hospital's Rule. The derivative of tan(8x) is and the derivative of sin(5x) is olo

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it.
tan(8x)
lim
x-0 sin(5x)
Step 1
As x- 0, tan(8x) -0
and sin(5x) - 0
Step 2
tan(8x)
x-0 sin(5x)
Therefore lim
is indeterminate of type
We must use l'Hospital's Rule. The derivative of tan(8x) is
and the derivative of sin(5x) is

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