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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Find the limit.

lim x 0 sin 5 x 3 x

To determine

To find: The limit of limx0sinxx=1.

Explanation

Result used:

The value of limθ0sinθθ=1

Calculation:

Compute limx0sin5x3x.

Divide the numerator and denominator by 5,

limx0sin5x3x=limx05sin5x53x=limx05sin5x35x=5

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