Calculus

L'Hôpital's Rule

L'Hopital's Rule

         

Evaluate limxexx15.\lim_{x \to \infty} \frac{e^{-x}}{x^{-15}}.

Evaluate limx06x+tanxsinx.\lim_{x \to 0} \frac{6x+\tan x}{\sin x}.

Evaluate limx0e26x1sinx\displaystyle \lim_{x \to 0} \frac{e^{26x}-1}{\sin x}.

Evaluate limx1x14+8x9x1\displaystyle \lim_{x \to 1} \frac{x^{14}+8x-9}{x-1}.

Evaluate limx0tan19xtan10x.\lim_{x \to 0} \frac{\tan 19x}{\tan 10x}.

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