Chapter 13, Problem 3T

(a)

To determine

The value of limit $\underset{x\to 2}{\lim }\frac{x^2+2x-8}{x-2}$.

(b)

To determine

The value of limit $\underset{x\to 2}{\lim }\frac{x^2-2x-8}{x+2}$.

(c)

To determine

The value of limit $\underset{x\to 2}{\lim }\frac{1}{x-2}$.

(d)

To determine

The value of limit $\underset{x\to 2}{\lim }\frac{x-2}{\left|x-2\right|}$.

(e)

To determine

The value of limit $\underset{x\to 4}{\lim }\frac{\sqrt{x}-2}{x-4}$.

(f)

To determine

The value of limit $\underset{x\to \infty }{\lim }\frac{2x^2-4}{x^2+x}$.