Generating...                               quiz06_n21

  1. Find $\displaystyle\lim_{x\to \mbox{ - } \infty} {{\pi}\over{x-\pi}}$

    Does not exist. 0 $1$ $\displaystyle -\infty $

  2. Find $\displaystyle \lim_{x\rightarrow \infty }{{{x}\over{\sqrt{9\,x^2+4}}}}$ .

    0 $\displaystyle {{1}\over{3}}$ $\displaystyle -{{1}\over{3}}$ Does not exist. $\displaystyle -{{1}\over{2}}$ $\displaystyle {{1}\over{2}}$

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

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

  4. Find $\displaystyle \lim_{x\rightarrow -5}{{{x^2+x-2}\over{x+5}}}$.

    Does not exist. $\displaystyle -\infty $ 0 $\displaystyle \infty $ −5

  5. Find the vertical asymptotes for $y = \displaystyle {{2\,x^2+6\,x+4}\over{x^2-2\,x}} $ .

    x = −1 x = 0 x = −2 x = 2 x = −2 and x = −1 x = 2 and x = 0 No vertical asymptote

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

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

  7. Find $\displaystyle \lim_{x\rightarrow 2}{{{1}\over{x-2}}}$.

    $\infty$ 2 $-\infty$ Does not exist. 0

  8. Find $\displaystyle\lim_{x\to -3 \mbox{ + }} {{1}\over{x+3}} $ .

    $\displaystyle \infty $ $\displaystyle -\infty $ 0 −3 Does not exist.

  9. Find $\displaystyle\lim_{x\to 3 \mbox{ + }} {{x^2+x-2}\over{x-3}} $ .

    $\displaystyle \infty $ 0 3 Does not exist. $\displaystyle -\infty $

  10. Find $\displaystyle \lim_{x\rightarrow -{{\pi}\over{2}}}{\tan x}$.

    0 $\displaystyle \infty $ $\displaystyle -{{\pi}\over{2}}$ $\displaystyle -\infty $ Does not exist.


Department of Mathematics
Last modified: 2026-03-24