Limits at a Number

Limits at a Number

Step 1: Just Plug in the Number

• Plug in the number

• If you just get a number, that's the answer

Multiple Choice

 $\lim_{x\rightarrow5}\ \ -x^2-2x$  

• 15

• -15

• -35

• 35

Multiple Choice

 $\lim_{x\rightarrow1}\left(\frac{\left(3x^2-2x+11\right)}{4x^6}\right)$  

• 0

• 1

• 2

• 3

If you get 0/0

• Factor and cancel

• Plug in the Number

Multiple Choice

 $\lim_{x\rightarrow2}\left(\frac{\left(x^2-x-2\right)}{\left(x-2\right)}\right)$  

• DNE

• 0

• 2

• 3

Multiple Choice

 $\lim_{x\rightarrow-1}\left(\frac{\left(x^2+4x+3\right)}{\left(x^2+5x+4\right)}\right)$  

• 1/2

• 2/3

• 0

• DNE

If you get c/0

• There will be vertical asymptote

• check where the Y valuie is headed and answer accordingly

Multiple Choice

 $\lim_{x\rightarrow3}\left(\frac{1}{x-3}\right)$  

• DNE

•  $\infty$  

•  $-\infty$  

• 0

Multiple Choice

 $\lim_{x\rightarrow2^+}\left(\frac{7}{x-2}\right)$  

• 7

• DNE

•  $\infty$  

•  $-\infty$  

Multiple Choice

 $\lim_{x\rightarrow-6^-}^{ }\left(\frac{-1}{x+6}\right)$  

•  $\infty$  

•  $-\infty$  

• -1

• DNE

Multiple Choice

 $\lim_{x\rightarrow0}\ \frac{-1}{x^2}$  

• dne

•  $\infty$  

•  $-\infty$  

• 0