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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

Evaluate lim t 0 t 3 tan 3 ( 2 t )

To determine

To evaluate: The limit of limt0t3tan3(2t).

Explanation

Result used:

The value of limθ0sinθθ=1.

Calculation:

Compute limt0t3tan3(2t).

limt0t3tan3(2t)=limt0t3sin3(2t)cos3(2t)                (Qtan3(2t)=sin3(2t)cos3(2t))=limt0t3sin3(2t)cos3(2t)

Divide the numerator and denominator by 8,

limt0t3tan3(2t)=limt08t3sin3

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