Limits Analytically (Factoring)

Evaluate the limit analytically by factoring:

 $\lim_{x\rightarrow4}\frac{x^2-16}{x-4}$  

•  $2$  

•  $4$  

•  $8$  

•  $DNE\ \left(undefined\right)$  

Evaluate the limit analytically by factoring:

 $\lim_{x\rightarrow1}\frac{\left(x-1\right)^2}{x^2-3x+2}$  

•  $0$  

•  $1$  

•  $\frac{1}{2}$  

•  $DNE\ \left(undefined\right)$  

Evaluate the limit analytically by factoring:

 $\lim_{x\rightarrow3}\frac{5x^2-12x-9}{2x^2-11x+15}$  

•  $18$  

•  $-\frac{3}{5}$  

•  $\frac{12}{11}$  

•  $DNE\ \left(undefined\right)$  

Evaluate the limit analytically by factoring:

 $\lim_{x\rightarrow2}\frac{x^2-4}{x^3-8}$  

•  $\frac{1}{3}$  

•  $0$  

•  $\frac{1}{4}$  

•  $DNE\ \left(undefined\right)$  

What is the name of the fraction 0/0?

• indeterminate form

• indeterminant form

• undetermined form

• undefined form