Generating...                               quiz04_n2

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

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

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

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

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

    Does not exist. $-\infty$ $\infty$ $\displaystyle -{{1}\over{3}}$

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

    −49 7 −7 Does not exist.

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

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


Department of Mathematics
Last modified: 2026-03-24