Functions and Limits

$$16$$

$$4$$

$$-4$$

$$DNE$$

$$-\frac{1}{3}$$

$$\frac{1}{3}$$

$$-3$$

$$DNE$$

$$0$$  

$$-\infty$$  

$$+\infty$$  

$$DNE$$  

Numerator

Denominator

Right side 

Left side

$$\lim_{x\rightarrow-2^{+\ }}g\left(x\right)=-3$$

$$\lim_{x\rightarrow-2}\ \ g\left(x\right)\ =e^{-2}$$

$$\lim_{x\rightarrow0^-}\ \ g\left(x\right)=1$$

$$\lim_{x\rightarrow0}\ \ g\left(x\right)=1$$

$$\lim_{x\rightarrow-\infty}\ f\left(x\right)=0$$

$$\lim_{x\rightarrow-\infty}\ f\left(x\right)=-\infty$$

$$\lim_{x\rightarrow+\infty\ }f\left(x\right)=3$$

$$\lim_{x\rightarrow+\infty}\ f\left(x\right)=+\infty$$

A

B

C

D

2

-4

DNE

-2