infinite limits

Find the limit. Hint: Where is the horizontal asymptote?

• ³/₇

• 0

• $\infty$

• $-\infty$
  

Tags

CCSS.HSF-IF.C.7D

Find the limit. Hint: Where is the horizontal asymptote?

• ^-2/₉

• 0

• $\infty$

• $-\infty$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.B.3

 $\lim_{x\rightarrow\infty}\ \frac{x+7}{\sqrt{4x^2+3x}}=...$  

•  $-\infty$  

•  $\infty$  

•  $\frac{1}{2}$  

• 0

•  $-\frac{1}{2}$ 

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• 0

• 1/4

• 1

• $\infty$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Does  $\lim_{x\rightarrow0}\left(\frac{\sqrt{3+x}}{x}\right)$  exists?

• The limit exists.

• The limit does not exists.

Which of the following actions are appropriate for finding a limit at infinity? Look for multiple answers.

• If the function is polynomial, look at rules for end behavior.

• If the function has a HA, that will determine the limit at infinity.

• If the function has a slant asymptote, look at the end behavior of that line (the slant asymptote)

• Look at the function graphically to determine end behavior.

 $\lim_{x\rightarrow-\infty}\ \frac{4x^2\ -\ 3x\ +\ 5}{-2x-5}$  

• 0

• DNE

• 3/2

•  $\infty$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSF.LE.A.3

What is the horizontal asymptote to this function?

• x=4
• y=0
• none
• y=4

Tags

CCSS.HSF-IF.C.7D