   Chapter 10, Problem 23RE 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 7–30, calculate the limit algebraically. If the limit does not exist, say why. lim x → − ∞ x 2 − x − 6 x − 3

To determine

To calculate: The value of limxx2x6x3 algebraically and provide reason if limit does not exist.

Explanation

Given information:

The provided limit is limxx2x6x3.

Formula used:

Continuity of closed form function theorem:

Every function that is closed is continuous on its domain. If f is a closed form function and f(a) is defined, then limxaf(x) exists and limxaf(x)=f(a).

Calculation:

Consider the limit, limxx2x6x3

Where, f(x)=x2x6x3

Ignore the terms x and 6 from the numerator and 3 from the denominator as these values are dominated by the terms having higher powers while calculating the limit tending to

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