Evaluating Limits to Infinity & Trig Functions

Find the limit. 

• ^-2/₉

• 0

• $\infty$

• $-\infty$

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

• ³/₇

• 0

• $\infty$

• $-\infty$
  

 $\lim_{x\rightarrow\infty}\left(2x^3+3x-1\right)=$  

•  $\infty$  

•  $-\infty$  

• 2

• 2/3

 $\lim_{x\rightarrow0}\frac{\sin\ x}{x}+4$  

• 1

• 0

• 4

• 5

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

• 0

• -1

• -5

•  $\infty$   

•  $-\infty$  

 $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.

• 0

• 1/4

• 1

• $\infty$

Find:

 $\lim_{x\rightarrow0}\left(\frac{\sin5x}{x}\right)$  

• 1/5

• 5

• 1

• DNE

Find:

 $\lim_{x\rightarrow0}\left(\frac{\sin6x}{\sin2x}\right)$  

• 1/3

• 3

• 1

• w

 $\lim_{x\rightarrow0}\sin\ x$  

• 0

• 1

• -1

• DNE