Q. 41 - Calculus

Question

Use tables of values to make educated guesses for each of the limits in Exercises 39–52. 

$\underset{x\to 2}{\lim }\frac{1}{x^2-4}$

Step-by-Step Solution

Answer

The value of the limit does not exist.

Step 1. Given Information.

The given function is $\underset{x\to 2}{\lim }\frac{1}{x^2-4}.$

Step 2. Table of values.

A table can be made as,

Here, the value approaches to $\infty .-\infty$from the right and left respectively.

Therefore, the limit of the function does not exist.