examples, and problems from the community.

including olympiad champions, researchers, and professionals.

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

When you've got a limit that looks like 0/0 or ∞/∞, L'Hôpital's rule can often find its value -- and make it clear that not all infinities are equal!

Evaluate \(\displaystyle \lim_{x \to 0} \frac{e^{14x}- 1 - 14x}{x^2}\).

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Evaluate \[\lim_{x \to 0^+} (1+\sin 6x)^{\cot x}.\]

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Evaluate \[\lim_{x \to 0} \frac{e^{2x}-1-2x}{x^2}.\]

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Evaluate \[\lim_{x \to 0} \frac{6\tan x-6x}{x^3}.\]

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Evaluate \[\lim_{x \to 1} \frac{x^{9}-9x+8}{(x-1)^2}.\]

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

© Brilliant 2017

×

Problem Loading...

Note Loading...

Set Loading...