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Chapter 1: Q. 42 (page 136)

Calculate each of the limits in Exercises 29-70.

limx鈫�1+1-x1-x.

Short Answer

Expert verified

The value oflimx鈫�1+1-x1-xis,12.

Step by step solution

01

Step 1. Given information 

limx鈫�1+1-x1-x.

02

Step 2. The limit is calculated as below:

limx鈫�1+1-x1-x=limx鈫�1+(1-x)(1+x)(1-x)(1+x)=limx鈫�1+12-(x)2(1-x)(1+x)=limx鈫�1+(1-x)(1-x)(1+x)=limx鈫�1+11+x=11+1=12

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