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Chapter 1: Q. 42 (page 88)

Use tables of values to make educated guesses for each of the limits in Exercises 39–52. $\lim_{x \to 1} \frac{1}{1 - x} .$

Short Answer

Expert verified

The value of the limit does not exist.

Step by step solution

01

Step 1. Given information.

The given function is $\lim_{x \to 1} \frac{1}{1 - x} .$

02

Step 2. Table of values.

The table of values is,

The value of $\frac{1}{1 - x}$ approaches to $\infty, - \infty$ to the left and right respectively.

Therefore,

the given limit does not exist.

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Most popular questions from this chapter

Explain why the Intermediate Value Theorem allows us to say that a function can change sign only at discontinuities and zeroes.

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