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
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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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
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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