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 \[\lim_{x \to 0} \frac{\tan 19x}{\tan 10x}.\]