问题

分析 >> 数学分析 >> 级数
Questions in category: 级数 (Infinite Series).

[Jakob Bernoulli]

Posted by haifeng on 2013-07-25 10:01:17 last update 2019-12-17 19:00:12 | Answers (0) | 收藏


Jakob Bernoulli 证明了

\[
\sum_{k=1}^{\infty}\frac{k^2}{2^k}=6,\quad\sum_{k=1}^{\infty}\frac{k^3}{2^k}=26.
\]


James A. Sellers, The infinite series of Euler and the Bernoulli's spice up a calculus class