Generating...                               quiz06_n11

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

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

  2. Find $\displaystyle\lim_{x\to\infty} \left( 3\,x-\sqrt{9\,x^2+9\,x} \right)$ .

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

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

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

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

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

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

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

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

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

  7. Find the vertical asymptotes for $y = \displaystyle {{x^2+7\,x+12}\over{x^2-9\,x+18}} $ .

    x = 3 x = 3 and x = 6 x = −3 and x = −4 x = −3 x = −4 No vertical asymptote x = 6

  8. Find $\displaystyle\lim_{x\to \mbox{ - } \infty} {{1000}\over{x+1000}}$

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

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

    y = 0 $\displaystyle y=-{{1}\over{2}}$ and y = 0 y = −1 and y = 1 $\displaystyle y=-{{1}\over{2}}$ No horizontal asymptote y = 1 y = −1

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

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


Department of Mathematics
Last modified: 2026-10-28