Q. 26 - Calculus

Question

Consider the limit values below:

$\underset{x\to 2^{-}}{\lim }f\left(x\right)=\infty ,\underset{x\to 2^{+}}{\lim }f\left(x\right)=-\infty \text{ and }f\left(2\right)=1$

The strategy is to sketch the graph of the function having the above limit values

Step-by-Step Solution

Answer

The graph obtained is 

Step 1. GIven

The given limit values are 

$\underset{x\to 2^{-}}{\lim }f\left(x\right)=\infty ,\underset{x\to 2^{+}}{\lim }f\left(x\right)=-\infty \text{ and }f\left(2\right)=1$

Step 2. Graph obtained