Generating...                               quiz17_n21

  1. Find $\displaystyle \lim_{x\rightarrow 0}{{{1-\cos x}\over{x^2}}}$.

    $\displaystyle -{{1}\over{2}}$ 0 2 −2 $\displaystyle {{1}\over{2}}$ 1

  2. Find $\displaystyle \lim_{x\rightarrow \infty }{\left({{2}\over{x}}+1\right)^{x}}$.

    e 1 $\displaystyle e^ {- 2 }$ $\displaystyle e^ {- 1 }$ $\displaystyle e^2$ 2

  3. Find $\displaystyle \lim_{x\rightarrow 0}{{{e^{5\,x}-1}\over{x}}}$.

    0 1 5 $\displaystyle {{1}\over{5}}$

  4. Find $\displaystyle \lim_{x\rightarrow 0}{{{\ln \cos x}\over{x^2}}}$.

    −2 0 2 $\displaystyle -{{1}\over{2}}$ $\displaystyle {{1}\over{2}}$

  5. Find $\displaystyle \lim_{x\rightarrow 0}{{{x}\over{7^{x}-2^{x}}}}$.

    1 0 $\displaystyle {{1}\over{\ln \left({{7}\over{2}}\right)}}$ $\displaystyle \ln \left({{2}\over{7}}\right)$ $\displaystyle \ln \left({{7}\over{2}}\right)$ $\displaystyle {{1}\over{\ln \left({{2}\over{7}}\right)}}$


Department of Mathematics
Last modified: 2026-07-16