Chapter 2.4, Problem 1E

(a)

To determine

To find

  $\underset{x\to 2}{\lim }\left[f(x)+5g(x)\right]$

(b)

To determine

To find

  $\underset{x\to 2}{\lim }{\left[g(x)\right]}^3$

(c)

To determine

To find

  $\underset{x\to 2}{\lim }\sqrt{f(x)}$

(d)

To determine

To find

  $\underset{x\to 2}{\lim }\frac{3f(x)}{g(x)}$

(e)

To determine

To find

  $\underset{x\to 2}{\lim }\frac{g(x)}{h(x)}$

(f)

To determine

To find

  $\underset{x\to 2}{\lim }\frac{g(x)\cdot h(x)}{f(x)}$