Question

For the function f whose graph is given, state the value of the given quantity if it exists. If it does not exist, explain why.

$\left(a\right)\underset{x\to 1^{-}}{\lim }f\left(x\right)$

$\left(b\right)\underset{x\to 1^{+}}{\lim }f\left(x\right)$

$\left(c\right)\underset{x\to 1}{\lim }f\left(x\right)$

$\left(d\right)\underset{x\to 5}{\lim }f\left(x\right)$

$\left(e\right)f\left(5\right)$

Short answer

The value of limit of the given function is $2.$

Step-by-step solution

Step 1. Given information.

The graph of the limits are given here,

Step 2. Formula used.

Here, we use the concept of limits from a graph.

Step 3. Simplification.

Limit of f as x approaches $1^{-}$ from the left side is$2$