Q. 3 - Calculus

Question

Calculating limits: Find each limit by hand.

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

Step-by-Step Solution

Answer

The value of this limit is $\infty$.

Step 1. Given Information.

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

Step 2. Calculating the limit using direct substitution.

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