Evaluate the limit of
 $\lim_{x\rightarrow1}\ \frac{x-1}{x^2-3x+2}$ .

 Evaluate the limit of
 $\lim_{x\rightarrow2}\ \frac{2-x}{x^2-3x+2}$ .

 Evaluate the limit of
 $\lim_{x\rightarrow1}\ \frac{\sqrt{x}-1}{x-1}$ .

 Evaluate the limit of
 $\lim_{x\rightarrow0}\ \frac{\sqrt{x+16}-4}{x}$ .

The limit of a function as x approaches a exists if the limit from left-hand side and the right-hand side approaching a exists and are the same.

The limit as x approaches a of all polynomial functions exist.

The limit as x approaches a of all rational functions exist.

The limit of a function as x-approaches a is always equal to the value of the function at a.

The limit of a constant is always a constant.

Evaluate the given limit of a function $\lim_{x\rightarrow2}\ \frac{x^{2\ }-4}{x^2-2x}$  

 $\lim_{x\rightarrow-1}\ \frac{x^2+x}{x^2-1}$  

 $\lim_{x\rightarrow-3}\ \frac{x^2-x-12}{x^2-9}$  

Given a piecewise-function shown in the photo, find the limit of the function as x approaches -4.

Given a piecewise-function shown in the photo, find the limit of the function as x approaches 4.