1680 Exam 1 Review

 $\lim_{x\rightarrow\infty}\left(\frac{x^{4\ }-x^5+3}{24x^4+x}\right)$  Find the limit:

• infinity

• negative infinity

• 0

• 1/24

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

• infinity

• negative infinity

• 0

• 1/3

• -1/3

 $\lim_{x\rightarrow\infty}\left(\frac{1}{x+2}\right)$  

• infinity

• negative infinity

• 0

• 1

 $\lim_{x\rightarrow1}\left(x^4-3x^3+4x-5\right)$  

(a)  

 $\lim_{x\rightarrow\left(-5\right)}\left(\frac{x^2+5}{x^2-25}\right)$  

(a)  

 $\lim_{x\rightarrow1^-}\left(-\frac{4x}{x-1}\right)$  

• infinity

• negative infinity

Find the derivative: $f\left(x\right)=-2x+5$  

(a)  

Find the derivative: $h\left(x\right)=-3x^2+4$  

(a)  

Find the derivative: $y=3x^2+3x+3$  

(a)  

Find the equation of the tangent line at (-1, 1): $y=\left(x+2\right)^{-1}$  

• y= -x

• y= -x-2
  

• y= x

• y= x+2