Generating...                               quiz03_n13

  1. Find $\displaystyle \lim_{x\rightarrow -2}{\left\vert x+2\right\vert }$.

    $-1$ Does not exist. $1$ 2 0

  2. Find $\displaystyle \lim_{x\rightarrow 3}{{{x^2-4\,x+3}\over{x-3}}}$.

    3. 2. 0 −2. Does not exist.

  3. Find $\displaystyle \lim_{x\rightarrow 2}{{{{{1}\over{x^2}}-{{1}\over{4}}}\over{x^2-4}} }$.

    $\displaystyle -{{1}\over{16}}$. Does not exist. $\displaystyle {{1}\over{16}}$. $\displaystyle -{{1}\over{4}}$ $\displaystyle {{1}\over{4}}$

  4. Find $\displaystyle \lim_{x\rightarrow -1}{{{x+1}\over{\left\vert x+1\right\vert }}}$.

    0 -1 1 Does not exist.

  5. Find $\displaystyle \lim_{x\rightarrow 0}{{{x^2-3\,x}\over{x^2-5\,x}}}$.

    Does not exist. −3 $\displaystyle {{3}\over{5}}$ 3 $\displaystyle -{{3}\over{5}}$

  6. If −1 $\le f(x) \le$ 1 for all $x$, find $\displaystyle \lim_{x\rightarrow 0}{x^2\,f\left(x\right)}$.

    1. Does not exist. 0

  7. Find $\displaystyle\lim_{x\to 0} x^3 \cos\left(\frac{1}{x}\right)$

    $1$ $-1$ Does not exist. 0

  8. Find $\displaystyle \lim_{x\rightarrow 0}{{{\left(x-4\right)^2-16}\over{x}}}$.

    0 4 −4 Does not exist. −8 8

  9. Find $\displaystyle \lim_{x\rightarrow 0}{{{3-\sqrt{x+9}}\over{x\,\sqrt{x+1}}}}$.

    −1. $\displaystyle -{{1}\over{6}}$. 1. $\displaystyle {{1}\over{6}}$. Does not exist.

  10. Find $\displaystyle \lim_{x\rightarrow 9}{{{9-x}\over{3-\sqrt{x}}}}$.

    3 −3 0 6 −6 Does not exist.


Department of Mathematics
Last modified: 2026-03-24