Limits Review

 $\lim_{x\to0}\frac{\left(\left(1+x\right)^3-1\right)}{x}$  

• undefined

• -3

• 3

• 1

 $\lim_{x\to7}\left(\cos\left(\frac{1}{x}\right)\right)$  

• cos(1/7)

• 0.98

• all of the above

 $\lim_{x\to\infty}\left(e^{-x}\cos\left(x\right)\right)$  is equal to  $\lim_{x\to-\infty}\left(e^{-x}\cos\left(x\right)\right)$  

• yes

• no, the first equation diverges as x approaches infiinity

• no, the second equation diverges as x approaches (-) infinity

Tags

CCSS.HSF-IF.C.7C

what is the limit as x approaches 2 from the left?

• 2

• 8

• DNE

• 0

Tags

CCSS.HSF.IF.A.2

What is the limit as x approaches 2 from the right?

• 2

• DNE

• 8

Tags

CCSS.HSF.IF.A.2

What is the limit at x=2

• 2

• 8

• DNE

 $\lim_{x\to27}\left(\frac{\sqrt{x+9}}{\log_3\left(x\right)}\right)$  

• diverges

• 3

• 2

• -2

what is the limit as x approaches 5 from the left

• DNE

• 4

• 5

• 0

the limit as x approaches 2 from the left and right is the same

• true

• false

What is the limit as x approaches -3 from the left?

• DNE

• diverges

• 5

• 3