IMathAS-libretexts

Which of the limits are indeterminate forms? There may be more than one answer.

$\displaystyle \lim_{{{x}\rightarrow{0}}}\ {x}^{{\frac{{1}}{{x}^{{2}}}}}$
$\displaystyle \lim_{{{x}\rightarrow{0}}}\ {x}^{{\tan{{x}}}}$
$\displaystyle \lim_{{{x}\rightarrow{0}^{+}}}\ {\left(\frac{{1}}{{{3}{x}}}\right)}^{{{\sin{{x}}}}}$
$\displaystyle \lim_{{{x}\rightarrow\infty}}\ {x}^{{\frac{{1}}{{x}}}}$

There is only one attempt for this question, and full credit will be earned only for a completely correct answer.