Chapter 1: Q.48 (page 150)

Calculate each limit in Exercises 35–80.
$\lim_{x \to 1} \frac{x - 1}{x^{2} - 2 x + 1}$

Short Answer

Expert verified

The limit does not exist.

Step by step solution

Step 1. Given Information:

Given expression: $\lim_{x \to 1} \frac{x - 1}{x^{2} - 2 x + 1}$

We want to find limit of given expression.

Step 2. Solution:

Make factor of denominator and simplify we get:

$\lim_{x \to 1} \frac{x - 1}{{(x - 1)}^{2}} = \lim_{x \to 1} \frac{1}{x - 1}$

Now take limit we get

$\lim_{x \to 1} \frac{1}{x - 1} = \frac{1}{1 - 1} = \frac{1}{0}$

We obtain indermine form solime does not exist.

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Calculate each limit in Exercises 35–80.
$\lim_{x \to 1} \frac{x - 1}{x^{2} - 2 x + 1}$

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Solution:

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Calculate each limit in Exercises 35–80.limx→1x-1x2-2x+1

Short Answer

Step by step solution

Step 1. Given Information:

Step 2. Solution:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Calculate each limit in Exercises 35–80.
$\lim_{x \to 1} \frac{x - 1}{x^{2} - 2 x + 1}$