$$\lim_{x\to\infty}\left(\frac{\sqrt{4x^2-1}}{x+2}\right)$$

$$0x^2+6x^3$$

$$3t^2+6\sqrt[2]{3}+9$$

$$\frac{x-8}{7}=\frac{x-9}{8}$$

$$\lim_{x\to\infty}\left(\sqrt{x-1}-\sqrt{x-1}\right)$$

$$\lim_{x\to\frac{\pi}{2}}\left(\frac{7\sin\left(x\right)}{6\left(\pi-2x\right)}\right)$$

$$\int\left(1+\tan\:\left(x\right)\right)^2\sec\:\left(x\right)dx$$