Arjang
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 19 Mathematicians don't quit, they fade away 12 What is the value of $i+i^2+i^3+\cdots+i^{23}$? 12 Why is Pi equal to 3.14159…? 11 Indefinite integral of $\sin(x)$ without using the derivative of $\cos(x)$ 9 Does L'Hôpital's work the other way?

### Reputation (4,034)

 +20 Average distance between 2 points on surface of sphere? +5 inequality $10<2^{2^{\frac {3}{\log_2 \log_2 10}}}$ +10 How to generate complicated looking identities such as $\sqrt [3] {2 + \sqrt 5} - \sqrt [3] {2 - \sqrt 5}=1$ easily? +5 Does every integer occur finitely many times and in what positions in Pascal's triangle?

### Questions (80)

 31 Image of a math problem that was stated in Cuneiform, Arabic, Latin and Finally in modern math notation 18 Are $\pi$ and $e$ algebraically independent? 17 $\sqrt 2$ is even? 15 Generalisation of the identity $\sum\limits_{k=1}^n {k^3} = \bigg(\sum\limits_{k=1}^n k\bigg)^2$ 10 What could be an intuitive explanation for $\sum\limits_{k=1}^{\infty}\frac{1}{k2^k} = \log 2$?

### Tags (99)

 28 calculus × 28 15 pi × 4 23 geometry × 10 13 complex-numbers × 4 20 integration × 10 12 soft-question × 20 17 algebra-precalculus × 7 12 teaching × 2 15 limits × 19 9 elementary-number-theory × 8

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