AP Calc Review Unit 1-3

A function is continuous if the limit to left exist and is equal to the function value.

• True

• False

What is the limit? $\lim_{x\rightarrow3}\ \frac{5x+2}{2x-3}$  

•  $\frac{5}{2}$  

•  $\infty$  

•   $-\infty$  

•  $\frac{17}{3}$  

•  $-\frac{2}{3}$  

What is the limit ? $\lim_{x\rightarrow6}\ \frac{x^2-36}{6}$   

•  $\infty$  

• 12

• DNE

• 6

Find the limit as x approaches -3

• 0

• DNE

• -6

• 1

•  $\infty$  

Find $\lim_{x\rightarrow2^+}\ f\left(x\right)$   

Find $\lim_{x\rightarrow1^-}\ f\left(x\right)$   

What is the limit? $\lim_{x\rightarrow3}\ \frac{\sqrt{x+1}-2}{x-3}$  

What is the domain of $y=-\frac{3}{x+3}-2$ ?

•  $x\ \ne-3$  

•  $x\ne-2$  

•  $y\ne-2$  

•  $y\ \ne-3$  

What are the Vertical Asymptotes? $\frac{-3\left(x-2\right)\left(x+7\right)}{x^2+5x}$  

• x = -2, 7

• x = 0, 5

• x = 2, -7

• x = 0, -5

What is the hole? $y=\frac{x^2-25}{x^2-x-20}$