LIMITS AND CONTINUITY

 $\lim_{x\rightarrow2}$   $\frac{x^2-4}{x^2+4}$  

• 1

• 0

• - $\frac{1}{2}$  

• -1

•  $\infty$  

 $\lim_{x\rightarrow\infty}$   $\frac{4-x^2}{x^2-1}$  is

(a)  

 $\lim_{x\rightarrow3}$   $\frac{x-3}{x^2-2x-3}$  is

• 0

• 1

•  $\frac{1}{4}$  

•  $\infty$  

• 4

 $\lim_{x\rightarrow0}$   $\frac{x}{x}$  

(a)  

• -1

• - $\frac{1}{2}$  

• 0

•  $\frac{1}{2}$  

• 1

 $\lim_{x\rightarrow\infty}\frac{2x^2+1}{\left(2-x\right)\left(2+x\right)}$  

(a)  

 $\lim_{x\rightarrow0}$   $\frac{\left|x\right|}{x}\ is$  

• 0

• does not exist

• 1

• -1

• none of them

• except at x = 1

• except at x = 2

• except at x = 1 or 2

• except at x = 0,1, or 2

• at each real number

• I only

• II only

• I and II

• none of them

• all of them

 $\lim_{x\rightarrow\infty}$   $\frac{2^{-x}}{2^x}$  

(a)