   Chapter 9, Problem 9RE ### 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 7-20, find each limit, if it exists. 9.   lim x → − 1 x 2 − 1 x + 1

To determine

To calculate: The value of the limit limx1x21x+1.

Explanation

Given Information:

The provided limit is limx1x21x+1.

Formula used:

A limit limxcx can be simplified as,

limxcx=c

According to the property of difference of squares,

a2b2=(a+b)(ab)

Calculation:

Consider the provided limit,

limx1x21x+1

Simplify the limit by substituting 1 for x,

limx1x21x+1=(1)211+1=110=00

Since, the limit has 00 indeterminate form at x=1

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