Calculus
# L'Hôpital's Rule

Evaluate $\lim_{x \to \infty} \frac{e^{-x}}{x^{-15}}.$

Evaluate $\lim_{x \to 0} \frac{6x+\tan x}{\sin x}.$

Evaluate $\displaystyle \lim_{x \to 0} \frac{e^{26x}-1}{\sin x}$.

Evaluate $\displaystyle \lim_{x \to 1} \frac{x^{14}+8x-9}{x-1}$.

Evaluate $\lim_{x \to 0} \frac{\tan 19x}{\tan 10x}.$