Limits

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

• ³/₇

• 0

• ∞

• -∞

Tags

CCSS.HSF-IF.C.8B

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

• ^-2/₉

• 0

• ∞

• -∞

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

 $\lim_{x\rightarrow\infty}\ \frac{2x-3}{4x\ +1}$  

• 0

• DNE

• 1/2

• 2

Tags

CCSS.HSF-IF.C.8B

 $\lim_{x\rightarrow\infty}\left(\frac{5}{x^2+1}\right)$  = 
Hint:  Where is the horizontal asymptote?

Tags

CCSS.HSF-IF.C.8B

 $\lim_{x\rightarrow\infty}\left(\frac{4x}{x+3}\right)$  = 

Tags

CCSS.HSA.APR.D.7

 $\lim_{x\rightarrow\infty}\left(2x^3+3x-1\right)=$  
Hint:  Think of the end behavior of an odd and positive polynomial.

•  $\infty$  

•  $-\infty$  

• 2

• 2/3

Tags

CCSS.HSA.APR.A.1

Determine the limit at infinity by finding the slant asymptote using long division and then looking at the end behavior of the slant asymptote.
 $\lim_{x\rightarrow\infty}\left(\frac{x^2-x-12}{x+3}\right)$  

•  $\infty$  

•  $-\infty$  

• -3

• 4

Tags

CCSS.HSF-IF.C.7D

Evaluate the limit.

• 3/2

• -3/2

• -infinity

• infinity

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

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

 $\lim_{x\rightarrow10}\left(\frac{x-10}{\sqrt{x+6}-4}\right)=$