$\lim_{x\to0}\left(\frac{2e^{x-1}-2}{x-1}\right)$
$\frac{\tan\left(x\right)}{\sec x-1}$
$3+\frac{2}{x}$
$\int\left(\frac{1}{4x^4}-\sqrt{2x}\right)dx$
$\frac{dx}{y}+\left(x^2-4x\right)dy=0$
$\left(x^2+1\right)^{\frac{1}{2}}y'=xy^3$
$6x\:+\:5x\:+\:2y$
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