Limits at Infinity Practice Basic (x tends to infinty)

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

• ³/₇

• 0

• $\infty$

• $-\infty$
  

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

• ^-2/₉

• 0

• $\infty$

• $-\infty$

• -3

• 4

Find the limit

• ⁶/₅

• 0

• $\infty$

• $-\infty$
  

 $\lim_{x\rightarrow\infty}\ \frac{x^3-x^2+1}{5-3x-x^4}=...$  

• 0

• -1

• -5

•  $\infty$   

•  $-\infty$  

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

• 0

• DNE

• 1/2

• 2

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

• ^-2/₉

• 0

• ∞

• -∞

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

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

•  $\infty$  

•  $-\infty$  

• 2

• 2/3

 $\lim_{x\rightarrow\ -\infty}\left(x^2+83x-1\right)=$  
Hint:  Think of the end behavior of an even and positive polynomial.

•  $\infty$  

•  $-\infty$  

• 2

• 3