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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Find the limit.

lim x 0 csc x sin ( sin x )

To determine

To find: The limit of limx0cscxsin(sinx).

Explanation

Result used:

The limit of limx0sinxx=1.

Calculation:

Compute limx0cscxsin(sinx).

Use the trigonometric identity cscx=1sinx and express the function as follows.

limx0cscxsin(sinx)=limx0sin(sinx)sinx

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