   Chapter 10.3, Problem 7E 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

In Exercises 5–20, determine whether the given limit leads to a determinate or indeterminate form. Evaluate the limit if it exists, or say why if not. [HINT: See Example 2 and Quick Examples 8–14.] lim x → 0 x 3 − 1 x 3

To determine

To calculate: The limit of the expression limx0x31x3, if it exists. Also, check if the provided limit is in the determinate or indeterminate form.

Explanation

Given Information:

The provided expression is limx0x31x3.

Formula used:

The determinate form is as follows:

k0±=±

Where, k is in any constant.

And, the form 00 and± are indeterminate form.

Calculation:

Consider the function f(x)=x31x3.

The function is a closed-form function, x=0 is a singular point.

Substitute x=0 in the function f(x)=x31x3, to get;

f(x)=x31x3=(0)31(0)3=10

The expression is of the form k0

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