$\lim_{x\to\infty}\left(\frac{2x-5}{x+3-5^{\frac{1}{x}}}\right)$

$\frac{k\left(k+2\right)}{\left(k+3\right)^2}$

$\left(x=4\ln\left(\sqrt{\frac{1-m^3}{1+m^3}}\right)\right)$

$\frac{d}{dx}ln\frac{6x}{8x+9}$

$sec-tan$

$\lim_{x\to\infty\:}\left(\frac{sin2x}{x^2+1}\right)$

$\int\left(\frac{1}{\sqrt{4x^2-4}}\right)dx$