Calc AB 2.1-2.5 Learning Check

 $\lim_{x\rightarrow2}\left(\frac{x^2}{x-4}\right)=$  

 $\lim_{x\rightarrow2}\left(\frac{x^2-4}{x-2}\right)=$  

 $\lim_{x\rightarrow0}\left(\frac{\sqrt{16+x}-4}{x}\right)=$  

•  $\frac{1}{8}$  

•  $\frac{1}{16}$  

• Does not exist

• 0

Evaluate  $\lim_{x\rightarrow\infty}\left(\frac{x-6}{x^2-36}\right)=$  

Evaluate  $\lim_{x\rightarrow-\infty}\left(\frac{5x-2}{6x+1}\right)=$  

• Does not exist OR  $-\infty$  

•  $\frac{3}{5}$  

•  $\frac{-5}{6}$  

•  $\frac{5}{6}$  

Evaluate  $\lim_{x\rightarrow0}\left(\frac{x+\sin\left(x\right)}{x}\right)=$  

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

 $The\ \lim_{x\rightarrow0}f\left(x\right)\$  fails to exist because...

• As the function approaches zero, left and right of zero do not match

• As the function approaches zero, the graph oscillates.

• As the function approaches zero, the graph increases without bound.

• The function only approaches zero from one side.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the value of the limit

• ∞

• -∞

• DNE

• 0

Tags

CCSS.HSF-IF.C.7E

The graph of f is shown in the figure. Which of the following statements is false?

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11