New posts in Sequences And Series

Proof of $\lim_{n \to \infty}(1+\frac{1}{n})^n=e$

Why does the Ratio Test prove absolute convergence when the limit test does not?

Proving a sum of a strange series $ \sum_{i=1}^{n} 11i^{10}-55i^9+165i^8-330i^7+462i^6 -462i^5+330i^4-165i^3+55i^2-11i+1 = n^{11} $

Proving that $ \sum_{k=0}^\infty\frac1{2k+1}{2k \choose k}^{-1}=\frac {2\pi}{3\sqrt{3}} $

Found this identity by accident

How to approach $\sum _{n=1}^{\infty } \frac{16^n}{n^4 \binom{2 n}{n}^2}$?

Is list of prime numbers a sequence

A sum of series with the inverse squared central binomial coefficient

Prove that $_4F_3\left(\frac13,\frac13,\frac23,\frac23;1,\frac43,\frac43;1\right)=\frac{\Gamma \left(\frac13\right)^6}{36 \pi ^2}$

Numbers from $1,\frac12,\frac13,...........\frac{1}{2010}$ are written and any two $x,y$ are taken and we replace $x,y$ by just $x+y+xy$