Q. 4 - Calculus

Question

Calculating limits: Find each limit by hand.

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

Step-by-Step Solution

Answer

The value of the limit given is $\infty$.

Step 1. Given Information.

Given: $\underset{x\to 1}{\lim }\frac{1}{x^2-1}.$

Step 2. Calculating the limit using direct substitution.

$$\begin{gathered} Solving by hand, \\ \underset{x\to 1}{\lim }\frac{1}{x^2-1} = \frac{1}{1-1}=\frac{1}{0}=\infty . \end{gathered}$$