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Chapter 1: Q. 35 (page 135)

Calculate each of the limits in Exercises 29-70.

limx鈫�1x2-1x-1.

Short Answer

Expert verified

The value oflimx鈫�1x2-1x-1is,2.

Step by step solution

01

Step 1. Given information

limx鈫�1x2-1x-1.

02

Step 2. The limit is calculated as below:

limx鈫�1x2-1x-1=limx鈫�1x+1x-1(x-1)=limx鈫�1x+1

=limx鈫�1x+limx鈫�11[Sum rule]

=1+1=2

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