Chapter 2.4, Problem 3E

(a)

To determine

Calculate ${\lim }_{x\to 2^{+}}f\left(x\right)$ and ${\lim }_{x\to 2^{-}}f\left(x\right)$.

(b)

To determine

Check ${\lim }_{x\to 2}f\left(x\right)$ is exist.

Provide the value of ${\lim }_{x\to 2}f\left(x\right)$ if it is exist otherwise provide the reason if does not exist.

(c)

To determine

Calculate ${\lim }_{x\to 4^{-}}f\left(x\right)$ and ${\lim }_{x\to 4^{+}}f\left(x\right)$.

(d)

To determine

Check ${\lim }_{x\to 4}f\left(x\right)$ is exist.

Provide the value of ${\lim }_{x\to 4}f\left(x\right)$ if it is exist otherwise provide the reason if it does not exist.