   Chapter 2.4, Problem 3CQ

Chapter
Section
Textbook Problem

Evaluate the following, and state the property of limits that you use at each step. a. lim x → 4 x ( 2 x 2 + 1 ) b. lim x → 1 ( 2 x 2 + x + 5 x 4 + 1 ) 3 / 2

(a)

To determine
The value of a given limit.

Explanation

Given information:

The given limit is limx4x(2x2+1) .

Properties Used:

(1) limxa[f(x)]r=[limxaf(x)]r=Lrr,apositiveconstant

(2) limxacf(x)=climxaf(x)=cLc,arealnumbers

(3) limxa[f(x)±g(x)]=limxaf(x)±limxag(x)=L±M

(4) limxa[f(x)g(x)]=[limxaf(x)][limxag(x)]=LM

(5

(b)

To determine
The value of given limit.

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