Chapter 2.4, Problem 4E

(a)

To determine

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

(b)

To determine

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

Provide the value if it is exist or the reason if it does not exist.

(c)

To determine

Calculate ${\lim }_{x\to -1^{-}}f\left(x\right)$ and ${\lim }_{x\to -1^{+}}f\left(x\right)$.

(d)

To determine

Check ${\lim }_{x\to -1}f\left(x\right)$ is exist.

Provide the value if it is exist or the reason if it does not exist.