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 4, Problem 12P
To determine

The values of a for which the equation is true.

Expert Solution

Explanation of Solution

Given information:

The equation is,

  limx(x+axa)x=e

Calculations:

Here the given equation is,

  limx(x+axa)x=e

Now simplifying the equation,

  limxln(x+axa)x=lnelimxxln(x+axa)=1ln(x+axa)=1xDifferentiating both sides,x+axa.[(xa).1(x+a).1(xa)2]=1x2(x+a).(2a)(xa)3=1x2(x+a).(2a).x2=(xa)32a.x2.(x+a)=(xa)32ax3+2a2x2=

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