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 2.2, Problem 21E
To determine

To calculate: The limx0x+42x . Also confirm the result graphically.

Expert Solution

Answer to Problem 21E

  limx0x+42x=14 .

Explanation of Solution

Given information:

Given limit as limx0x+42x

Consider the limits as,

  limx0x+42x=limx0x+42x×x+4+2x+4+2=limx0(x+4)222x(x+4+2)=limx0x+44x(x+4+2)=limx0xx(x+4+2)

Further solving,

  =limx01x+4+2=10+4+2=12+2=14=0.25

Graph of the function is,

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2.2, Problem 21E

Therefore, limx0x+42x=14

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