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
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
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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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1576d35b-6b6d-4884-9095-555376888f75%2F451c2f8c-8908-4bff-a3a3-fa2f65f8d268%2Fswe3q67_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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