$\lim_{x\to0}\left(5\sqrt{x}lnx\right)$
$4-8-20+5$
$\cot^2x-1=\cos2x\left(1+\cot^2x\right)$
$15+21x$
$\frac{1+\cos\left(3x\right)^2}{\sin\left(3x\right)^2}$
$\lim_{x\to0}\left(\frac{\sqrt{x}}{e^2}\right)$
$\sqrt[6]{n^5}-2+1$
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