   Chapter 9.2, Problem 31E Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
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 → ∞ 3 x 2 + 5 x 6 x + 1

(a)

To determine

To calculate: The value of the limit, limx3x2+5x6x+1.

Explanation

Given Information:

The limit is limx3x2+5x6x+1.

Formula used:

A limit limxcx can be simplified as,

limxcx=c

Calculation:

Consider the provided limit,

limx3x2+5x6x+1

Take x2 common from the numerator and denominator,

limx3x2+5x6x+1=limx3x2+x25xx26x+x21x2=limx

(b)

To determine

The horizontal asymptote for the limit, limx3x2+5x6x+1.

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