AB Calculus Limits Test

Evaluate the limit  $\lim_{x\rightarrow0}\left(\frac{5x^4+8x^2}{3x^4-16x^2}\right)=$  

(a)  

Evaluate the limit:  $\lim_{x\rightarrow1}\left(\frac{7x-18}{\left(x-2\right)^2}\right)=$  

(a)  

Evaluate the limit:  $\lim_{x\rightarrow\infty}\left(\frac{5x^3+2x-1}{2x^3-9}\right)=$  

(a)  

Evaluate the limit:  $\lim_{x\rightarrow4^-}\left(\frac{2}{x-4}\right)=$  

(a)  

If  $f\left(x\right)=x^2$  determine the value of  $\lim_{x\rightarrow0}\left(\frac{f\left(3+x\right)-f\left(3\right)}{x}\right)=$  

(a)  

Given $\lim_{x\rightarrow\infty}f\left(x\right)=-2$ which statement must be true?

Given the function  $f\left(x\right)=4x^2-x$  
Determine the average rate of change over the interval [-1,2]

(a)  

The graph represents f(x)

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

The graph represents f(x).
Find  $\lim_{x\rightarrow6}f\left(x\right)$