Generating...                               quiz06_n5

  1. Find $\displaystyle\lim_{x\to 4 \mbox{ + }} {{-x^2-x+2}\over{x-4}} $ .

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

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

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

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

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

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

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

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

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

  6. Find $\displaystyle \lim_{x\rightarrow 3}{{{x^2+5\,x+4}\over{x-3}}}$.

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

  7. Find $\displaystyle\lim_{x\to\infty} \left( {{1}\over{\sqrt{4\,x^2+7\,x}-2\,x}} \right)$ .

    Does not exist. $\displaystyle {{4}\over{7}}$ $\displaystyle {{7}\over{4}}$ $\displaystyle -{{4}\over{7}}$ $\displaystyle -{{7}\over{4}}$ 0

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

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

  9. Find $\displaystyle \lim_{x\rightarrow \infty }{{{5\,x^3+5\,x^2+4}\over{-3\,x^3-3\,x^2+ 5\,x}}}$.

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

  10. Find the horizontal asymptotes for $y = \displaystyle {{-3\,x^2-{{15\,x}\over{2}}+18}\over{x^2+2\,x+1}} $ .

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


Department of Mathematics
Last modified: 2026-02-06