Generating...                               quiz06_n21

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

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

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

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

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

    $\displaystyle -{{4}\over{3}}$ $\displaystyle {{4}\over{3}}$ Does not exist. $\displaystyle -{{3}\over{4}}$ $\displaystyle {{3}\over{4}}$

  4. Find $\displaystyle\lim_{x\to -{{\pi}\over{2}} \mbox{ - }} \tan x $ .

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

  5. Find the horizontal asymptotes for $y = \displaystyle {{3\,x-2\,x^2}\over{x^2-4}} $ .

    y = −2 y = 2 No horizontal asymptote $\displaystyle y={{3}\over{2}}$ and y = 0 y = −2 and y = 2 y = 0 $\displaystyle y={{3}\over{2}}$

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

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

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

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

  8. Find $\displaystyle\lim_{x\to\infty} \left( -{{1}\over{\sqrt{4\,x^2+5\,x}-2\,x}} \right)$ .

    0 $\displaystyle {{5}\over{4}}$ Does not exist. $\displaystyle {{4}\over{5}}$ $\displaystyle -{{5}\over{4}}$ $\displaystyle -{{4}\over{5}}$

  9. Find $\displaystyle\lim_{x\to \mbox{ } \infty} {{100}\over{x-100}}$

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

  10. Find $\displaystyle\lim_{x\to 3 \mbox{ - }} {{-x^2-6\,x-8}\over{x-3}} $ .

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


Department of Mathematics
Last modified: 2025-06-19