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 44E
To determine

Find the given limit using formula 2 .

Expert Solution

Answer to Problem 44E

The limx0sin3xsin5xx2=15 .

Explanation of Solution

Given:

The given limitis limx0sin3xsin5xx2 .

Calculation:

Use derivative rule ddxsin(kx)=kcoskx .

  limx0sin3xsin5xx2=limx0sin3xxsin5xx=limx03sin3x3x5sin5x5x=15[limx0sin3x3xsin5x5x]=15[(limx0sin3x3x)(limx0sin5x5x)]

Use limit formula limx0sinxx=1 .

  =1511=15

Hence the value of the limx0sin3xsin5xx2=15 .

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