   Chapter 10.3, Problem 105E 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

Why was the following marked wrong? What is the correct answer? lim x → 3 x 3 − 27 x − 3 = 0 0  undefined × W R O N G

To determine

The reason for the expression limx3x327x3=00 undefined to be marked wrong and state the correct answer.

Explanation

Given information:

The provided expression limx3x327x3=00 undefined.

Consider the expression limx3x327x3=00 undefined.

Here, x327x3 is the closed-form function. However, x=3 is not in the domain of the function x327x3 as the function is not continuous at x=3.

Simplify the function such that x=3 lies in its domain.

limx3x327x3=limx3(x)3(3)3x3

Apply difference of cubes formula a3b3=(ab)(a2+ab+b2):

limx3(x)3(3)3<

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