Generating...                               quiz04_n27

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

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

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

    $-\infty$ $\infty$ Does not exist. −1

  3. Find $\displaystyle \lim_{x\rightarrow -2}{{{f\left(x\right)+7}\over{g\left(x\right)+1 }}}$.

    4 1 $-\infty$ $\infty$ Does not exist.

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

    −3 4 16 9

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

    $\infty$ Does not exist. $-\infty$ $\displaystyle -{{3}\over{2}}$


Department of Mathematics
Last modified: 2026-07-16