$$\lim_{x\to0}\left(\frac{n+1}{n+2}\right)$$

$$\int_0^1\:ax^{a-1}dx$$

$$\left(\csc^2u-1\right)\sin^2u$$

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

$$\int\left(-3x+5\right)e^x\:dx$$

$$\lim_{x\to0}\left(\left(\frac{x}{\left(\frac{1}{2}-\left(\frac{1}{2+x}\right)\right)}\right)\right)$$

$$5^{x-2}=5^{7x-8}$$