   Chapter 9.1, Problem 4CP ### 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

# If lim x → c − f ( x ) = 0 , does lim x → c − f ( x ) exist ?

To determine

Whether limxcf(x) exists if limxcf(x)=0.

Explanation

Given Information:

The value of limxcf(x) is 0.

Explanation:

Consider the provided limit,

limxcf(x)=0

The limit indicates the limit from the left, which are the values of f(x) when xc but x<c. But the limit of the function for open internal exit if left and right side of the limit approaches a single value. But in the given problem provided only a left side limit, the right side of the limit may or may not be same its depends upon the nature of function.

For example, consider the graph,

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