BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.3, Problem 43E
To determine

Find the given limit using formula 2 .

Expert Solution

Answer to Problem 43E

The limt0tan6tsin2t=3 .

Explanation of Solution

Given:

The given limitis limt0tan6tsin2t .

Calculation:

Use derivative rule ddxtan(kx)=ksec2kx and ddxsin(kx)=kcoskx .

  limt0tan6tsin2t=limt06sec26t2cos2t=3limt0sec26tcos2t=3sec2(60)cos(20)=3sec2(0)cos(0)=311=3

Hence the value of the limt0tan6tsin2t=3 .

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