Generating...                               quiz06_n16

  1. Find $\displaystyle \lim_{x\rightarrow -\infty }{{{x}\over{\sqrt{9\,x^2+1}}}}$ .

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

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

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

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

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

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

    4 $\displaystyle \infty $ 0 Does not exist. $\displaystyle -\infty $

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

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

  6. Find $\displaystyle \lim_{x\rightarrow \infty }{{{5\,x^2-2\,x}\over{\sqrt{9\,x^4+2\,x} }}}$

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

  7. Find the horizontal asymptotes for $y = \displaystyle {{x^2+{{5\,x}\over{2}}-6}\over{x^2+3\,x+2}} $ .

    y = −1 $\displaystyle y={{3}\over{2}}$ No horizontal asymptote $\displaystyle y={{3}\over{2}}$ and y = −4 y = 1 y = −4 y = 1 and y = −1

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

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

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

    $\displaystyle -\infty $. $\displaystyle \infty $. 2. 0 Does not exist. $\displaystyle {{1}\over{4}}$

  10. Find $\displaystyle\lim_{x\to -{{\pi}\over{2}} \mbox{ + }} \sec x $ .

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


Department of Mathematics
Last modified: 2026-07-16