Q. 27 - Calculus

Question

Consider the limit values below:

$\underset{x\to 3^{-}}{\lim }f\left(x\right)=2,\underset{x\to 3^{+}}{\lim }f\left(x\right)=2\text{ and }f\left(3\right)$

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

Step-by-Step Solution

Answer

Step 1. Given

The limits values  are $\underset{x\to 3^{-}}{\lim }f\left(x\right)=2,\underset{x\to 3^{+}}{\lim }f\left(x\right)=2\text{ and }f\left(3\right)\cup$

Step 2. Graph obtained