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Chapter 1: Q.48 (page 150)

Calculate each limit in Exercises 35鈥�80.

limx鈫�1x-1x2-2x+1

Short Answer

Expert verified

The limit does not exist.

Step by step solution

01

Step 1. Given Information:

Given expression: limx鈫�1x-1x2-2x+1

We want to find limit of given expression.

02

Step 2. Solution:

Make factor of denominator and simplify we get:

limx鈫�1x-1(x-1)2=limx鈫�11x-1

Now take limit we get

limx鈫�11x-1=11-1=10

We obtain indermine form solime does not exist.

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Most popular questions from this chapter

Write delta-epsilon proofs for each of the limit statements limx鈫�cfx=Lin Exercises 47-60.

limx鈫�-31-x=4.

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For each limit in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

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