Generating...                               quiz06_n8

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

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

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

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

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

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

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

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

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

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

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

    No horizontal asymptote $\displaystyle y=-{{1}\over{2}}$ and y = 0 y = 0 y = −3 y = 3 and y = −3 y = 3 $\displaystyle y=-{{1}\over{2}}$

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

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

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

    0 $\displaystyle {{5}\over{2}}$ $\displaystyle {{2}\over{5}}$ Does not exist. $\displaystyle -{{5}\over{2}}$ $\displaystyle -{{2}\over{5}}$

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

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

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

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


Department of Mathematics
Last modified: 2025-12-16