   Chapter 9.2, Problem 29E ### 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 → − ∞ 5 x 3 − 4 x 3 x 3 − 2

(a)

To determine

To calculate: The value of the limit limx5x34x3x32.

Explanation

Given Information:

The limit is limx5x34x3x32.

Formula used:

A limit limxcx can be simplified as,

limxcx=c

Calculation:

Consider the provided limit,

limx5x34x3x32

Take x3 common from the numerator and denominator,

limx5x34x3x32=limx5x3x34x23x3x32x3=limxx3

(b)

To determine

The horizontal asymptote for the limit limx5x34x3x32.

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