   Chapter 10.3, Problem 46E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 21-74, calculate the limit algebraically. If the limit does not exit, say why, lim x → − 1 x 2 + 3 x x 2 + 2 x + 1

To determine

To calculate: The value of limx1x2+3xx2+2x+1 algebraically and give reason, if limit does not exist.

Explanation

Given Information:

The provided limit is limx1x2+3xx2+2x+1.

Calculation:

Consider the limit,

limx1x2+3xx2+2x+1

Simplify the limit,

limx1x2+3xx2+2x+1=limx1x(x+3)x2+x+x+1=limx1x(x+3)x(x+1)+1(x+1)=limx1x(x+3)(x+1)(x+1)=lim

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