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Chapter 1: Q 4. (page 86)

If limx鈫�0+f(x)=-2, limx鈫�0-f(x)=3, and f(0)=-2, what can you say about limx鈫�0f(x)?

Short Answer

Expert verified

limx鈫�0f(x)does not exist.

Step by step solution

01

Step 1. Given information.

It is given thatlimx鈫�0+f(x)=-2,limx鈫�0-f(x)=3andf(0)=-2.

02

Step 2. Find limx→0f(x).

Here left-hand limit and the right-hand limit are not equal.

limx鈫�0+f(x)鈮�limx鈫�0-f(x)-2鈮�3

So, the limit of f(x)as xapproaches to 0does not exist.

03

Step 3. Simplified answer.

Hence, limx鈫�0f(x)does not exist.

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