   Chapter 9.2, Problem 3CP ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# (a) Evaluate lim x → ∞ x 2 − 4 2 x 2 − 7 .(b) What does part (a) say about horizontal asymptotes for f ( x ) = ( x 2 −   4 ) / ( 2 x 2 −   7 ) ?

(a)

To determine

To calculate: The value of limit for the function limxx242x27.

Explanation

Given Information:

The limit is to be evaluated for the function is;

limxx242x27

Formula used:

To find the limits as x or x, divide the numerator and denominator of the function by the highest power of the variable present and apply the following properties:

limxkxp=0limxkxp=0

Where k is a constant and p0. If p=0, limit has no effect on the function

(b)

To determine

To calculate: The horizontal asymptotes for the function f(x) given as f(x)=x242x27.

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