1.7 Selecting Procedures for Determining Limits

 $\lim_{x\rightarrow1}\ \frac{x-1}{\sqrt{x}-1}=$  
If the limit does not exist, write "DNE."

 $\lim_{x\rightarrow3}\ \sqrt{2x+4}=$  
If the limit does not exist, write "DNE."

 $\lim_{x\rightarrow0}\ \frac{x}{\frac{1}{x+3}-\frac{1}{3}}=$  
If the limit does not exist, write "DNE."

 $\lim_{x\rightarrow1}\ \frac{\sqrt{x+8}-3}{x-1}=$  
If the limit does not exist, write "DNE."

 $\lim_{x\rightarrow-1}\ \frac{x+1}{x^2+2x+2}=$  
If the limit does not exist, write "DNE."

 $\lim_{x\rightarrow0}\ \frac{\frac{1}{x+2}-\frac{1}{2}}{x}=$  
If the limit does not exist, write "DNE."

 $\lim_{x\rightarrow-1}\ \frac{x+1}{x^2-2x-3}=$  
If the limit does not exist, write "DNE."

 $\lim_{x\rightarrow13}\ \frac{\sqrt{x+12}-5}{x-13}=$  

 $\lim_{x\rightarrow0}\ \frac{\frac{1}{x-6}+\frac{1}{6}}{x}=$  
If the limit does not exist, write "DNE."

 $\lim_{x\rightarrow3}\ \frac{x^2-5x+6}{x-3}=$  
If the limit does not exist, write "DNE."