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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 θ 0 cos θ 1 sin θ

To determine

To find: The limit of limθ0cosθ1sinθ.

Explanation

Limit Law:

Suppose that the limits limxaf(x) and limxag(x) exist, then

limxaf(x)g(x)=limxaf(x)limxag(x) if limxag(x)0 (1)

Result used:

(1) limθ0sinθθ=1

(2) limθ0cosθ1θ=0

Calculation:

Compute limθ0cosθ1sinθ

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