91Ó°ÊÓ

Use the graph shown to determine if the limit exists. If it does, find its value.

In Problems 13–32, use the accompanying graph of y = f(x).

Find$\underset{x→-4^{-}}{\lim }f\left(x\right).$

True or False: $\underset{x→c}{\lim }f\left(x\right)=N$may be described by saying that the value of f(x) gets closer to N as x gets closer to c but remains unequal to c.

In Problems 7– 42, find each limit algebraically

$\underset{x→1}{\lim }5$

In Problems 77 – 82, determine where each rational function is undefined. Determine whether an asymptote or a hole appears at such numbers.

$R\left(x\right)=\frac{x^3-3x^2+4x-12}{x^4-3x^3+x-3}$