AP Calculus Limit Review

$$\lim_{x\rightarrow0}\frac{5x^4+8x^2}{3x^4-16x^2}=$$  

(a)  

Circle all x-values where the graph has a limit, but is not continuous.

$$f\left(x\right)=\left\{\frac{x-1}{x^2-4},\ \ x<1\right\}\ and\ f\left(x\right)=\left\{-3,\ \ x\ge1\right\}$$  

For the piecewise function above, which statement is true?

$$\lim_{x\rightarrow-1}\frac{2x^2-x-3}{x+1}=$$  

(a)  

$$\lim_{h\rightarrow0}\frac{\left(h+4\right)^2-16}{h}=$$  

(a)  

For the graph of $$y=j\left(x\right)$$  , which statement below is false?

$$\lim_{x\rightarrow0}\frac{\tan5x}{\sin4x}=$$  

(a)  

$$\lim_{x\rightarrow-1-}\frac{\left|3x+5\right|}{x+1}$$  

$$\lim_{x\rightarrow3}\frac{\frac{x}{x+2}-\frac{3}{5}}{x-3}=$$