   Chapter 10.2, Problem 44E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Multiple choice: If f is defined on all real numbers except a and lim a → x f ( x ) doesnot exist, then f is(A) singular (B) discontinuous (C) continuous at a.

To determine

The correct choice for the nature of the function f at x=a from the following options if limxaf(x) does not exist and f is defined on all real numbers except a:

(A) Singular

(B) Discontinuous

(C) Continuous

Explanation

Given information:

The function f is defined on all real numbers except a and limxaf(x) does not exist.

The provided options are:

(A) Singular

(B) Discontinuous

(C) Continuous

Consider the limit, limxaf(x)

As the function f is defined on all real numbers except a that means the point x=a is not in the domain of

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