Generating...                               quiz04_n8

Suppose that $\displaystyle \lim_{x\rightarrow -2}{f\left(x\right)}=-3$ and $\displaystyle \lim_{x\rightarrow -2}{g\left(x\right)}=3$ . Then answer the following questions.

  1. Find $\displaystyle \lim_{x\rightarrow -2}{\left(g\left(x\right)+f\left(x\right)-3 \right)^2}$.

    9 4 −3 16

  2. Find $\displaystyle \lim_{x\rightarrow -2}{{{f\left(x\right)+2}\over{g\left(x\right)-5 }}}$.

    Does not exist. −1 $-\infty$ $\infty$ $\displaystyle {{1}\over{2}}$

  3. Find $\displaystyle \lim_{x\rightarrow -2}{\sqrt{g\left(x\right)-1}}$.

    $\displaystyle \sqrt{2}$ $\displaystyle \sqrt{5}$ 2 Does not exist.

  4. Find $\displaystyle \lim_{x\rightarrow -2}{{{f\left(x\right)+6}\over{x+2}}}$.

    $\infty$ 3 Does not exist. $-\infty$

  5. Find $\displaystyle \lim_{x\rightarrow -2}{\left(f\left(x\right)-x^2\right)\,\left(g \left(x\right)+4\right)}$.

    7 −7 −49 Does not exist.


Department of Mathematics
Last modified: 2025-06-19