Chapter 9.1, Problem 1CP

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Can lim x → c − f ( x ) exist if f ( c ) is undefined?

To determine

Whether limxcf(x) exists, if f(c) is undefined.

Explanation

Given Information:

The value of f(c) is undefined. The provided limit is limxâ†’cf(x).

Explanation:

Consider the provided limit,

limxâ†’cf(x)

The limit of f(x) is defined as x approaches to c from the right and left side, the function approaches the single value. But the notation f(c) to indicate the value of function f(x) at x=c.

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

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