   Chapter 9.1, Problem 48E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# (a) If lim x → 2 + f ( x ) = 5 , lim x → 2 − f ( x ) = 5 ,  and  f ( 2 ) = 0 , find  lim x → 2 f ( x ) , if it exists. Explain your conclusions.(b) If lim x → 0 + f ( x ) = 3 , lim x → 0 − f ( x ) = 0 ,  and  f ( 0 ) = 0 , find  lim x → 0 f ( x ) , if it exists. Explain your conclusions.

(a)

To determine

To calculate: The value of limx2f(x), if limx2+f(x)=5,limx2f(x)=5 and f(2)=0.

Explanation

Given Information:

The provided values are limx2+f(x)=5,limx2f(x)=5 and f(2)=0.

Calculation:

Consider the provided limit,

limx2f(x)

The value of a limit limxcf(x) is independent of the value of f(c), which may exist, may be the same or different as the limit or undefined

(b)

To determine

To calculate: The value of limx0f(x), if limx0+f(x)=3,limx0f(x)=0 and f(0)=0.

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