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.

Express rational functions as a sum of fractions with simpler denominators. You can apply this to telescoping series to mass cancel terms in a seemingly complicated sum.

\[\frac{1}{2!} + \frac{2}{3!} + \frac{3}{4!} + \frac{4}{5!} + \ldots = \ ?\]

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by
**
A K**

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by
**
Inderjeet Nair**

\[\large \displaystyle \sum_{n = 1}^{\infty} \dfrac {1}{n^2 + 3n + 2} = \ ? \]

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by
**
Sharky Kesa**

\[ \frac{1}{(x-1)(x-2)} + \frac{1}{(x-2)(x-3)} + \frac{1}{(x-3)(x-4)} = \frac{1}{6} \]

What is the sum of all real values of \(x\) that satisfy the above equation?

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by
**
avn bha**

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by
**
Isam Dimacutac**

© Brilliant 2017

×

Problem Loading...

Note Loading...

Set Loading...