Chapter 11.3, Problem 19MCCP

(a)

To determine

To calculate: The value of $\underset{x\to 2^{-}}{\lim }f\left(x\right)$ from the function $f\left(x\right)=\{\begin{array}{c}\frac{x^4-16}{x-2}\text{ if }x\ne 2\\ 32\text{ if }x=2\end{array}$.

(b)

To determine

To calculate: The value of $\underset{x\to 2^{+}}{\lim }f\left(x\right)$ from the function $f\left(x\right)=\{\begin{array}{c}\frac{x^4-16}{x-2}\text{ if }x\ne 2\\ 32\text{ if }x=2\end{array}$.

(c)

To determine

To calculate: The value of $\underset{x\to 2}{\lim }f\left(x\right)$ from the function $f\left(x\right)=\{\begin{array}{c}\frac{x^4-16}{x-2}\text{ if }x\ne 2\\ 32\text{ if }x=2\end{array}$.