   Chapter 9.2, Problem 30E ### 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

# In Problems 25-32, complete (a) and (b).(a) Use analytic methods to evaluate each limit.(b) What does the result from part (a) tell you about horizontal asymptotes?You can verify your conclusions by graphing the functions with a graphing calculator. lim x → ∞ 4 x 2 + 5 x x 2 − 4 x

(a)

To determine

To calculate: The value of the limit, limx4x2+5xx24x.

Explanation

Given Information:

The limit is limx4x2+5xx24x.

Formula used:

A limit limxcx can be simplified as,

limxcx=c

Calculation:

Consider the provided limit,

limx4x2+5xx24x

Take x2 common from the numerator and denominator,

limx4x2+5xx24x=limx4x2+x25x1x2x2

(b)

To determine

The horizontal asymptote for the limit, limx4x2+5xx24x.

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