Q. 29 - Calculus

Question

Consider the limit values below:

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

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

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

Step 2. Graph obtained