Generating...                               quiz17_n15

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

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

  2. Find $\displaystyle\lim_{x\to 0+} x^{x^2} $.

    $\infty$ 0 1

  3. Find $\displaystyle\lim_{x\to 0+} x\,\ln x $.

    $-\infty$ 0 $\infty$ 1

  4. Find $\displaystyle \lim_{x\rightarrow 0}{{{6^{x}-3^{x}}\over{x}}}$.

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

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

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


Department of Mathematics
Last modified: 2026-03-24