$\lim_{x\to0}\left(\sin\left(x\right)\ln\left(x\right)\right)$

$\lim_{x\to0}\sin\left(x\right)\ln\left(x\right)$

$\lim_{x\to0}\left(sin\left(x\right)ln\left(x\right)\right)$

$\lim_{x\to0}\left(sinxlnx\right)$

$\lim_{x\to1}\left(\frac{9x}{x-1}-\frac{9}{ln\left(x\right)}\right)$

$\lim_{x\to0}x^2\ln\left(x\right)$

$\lim_{x\to 1}\left(\frac{x}{x-1}-\frac{1}{ln\:x}\right)$

$\frac{d}{dx}\left(\frac{\left(x^3+1\right)^4sin^2x}{x^{\frac{1}{3}}}\right)$