Evaluate the limit
$\lim_{x\to0}\left(\left(1-e^x\right)^{\frac{1}{\ln\left(x\right)}}\right)$
$\lim_{x\to0}\left(arcsin\left(x\right)\right)^{\tan\left(x\right)}$
$\lim_{x\to1}\left(\tan\left(\frac{\pi x}{4}\right)^{\tan\left(\frac{\pi x}{2}\right)}\right)$
$\lim\:_{x\to\:1}\left(1+3\cdot\:\:lnx\right)^{\left(\frac{1}{sen\:\left(1-x\right)}\right)}$
$\lim_{x\to0}\left(x+\sin\left(x\right)\right)^{\tan\left(x\right)}$
$\lim_{x\to1}\left(x^{\tan\left(\pi \frac{1}{2}\cdot x\right)}\right)$
$\lim_{x\to0}\left(x^x\right)$
Those are limits of expressions of the form f(x)^g(x).
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