List questions from alternating-expression | MathQA

Evaluate a kronecker symbol sum: $\sum\limits_{n=1}^\infty \frac {\big(\frac n x\big)}n$ and $\sum\limits_{n=1}^\infty \frac {\big(\frac xn\big)}n$

Published on 25 Jun 2022 - 23:38

Closed form of $\sum _{k\ge 1} \frac{(-1)^{\binom{k}{p}}}{k}$, an alternating harmonic series with the signs determined by a binomial coeffcient

Published on 30 Jun 2022 - 4:39

Alternating sum of binomial coefficients $\sum_{k=0}^{49}(-1)^k \binom{99}{2k} = -2^{49}$

Published on 25 Aug 2022 - 12:39

Proof of the Laplace formula using alternating tensors.

Published on 29 Aug 2022 - 7:44

Given the alternating series. . . what is the infinite sum of . . .

Published on 07 Dec 2022 - 6:21

How many terms need to be added to approximate $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)!}$ with an error less to $10^{-5}$

Published on 15 Dec 2022 - 7:59