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

    $\infty$ 0 1

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

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

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

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

  4. Find $\displaystyle \lim_{x\rightarrow 0}{{{e^{4\,x}-1}\over{x}}}$.

    4 $\displaystyle {{1}\over{4}}$ 0 1

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

    $-\infty$ $\infty$ 1 0


Department of Mathematics
Last modified: 2025-12-14