p-Series

Tags

Calculus

cegep/2

Word count

49 words

Reading time

1 minute

Series with the form

$$\begin{array}{rl}{S}_N& =\sum _{n=1}^N\frac{1}{n^p}\\ \underset{N\to \mathrm{\infty }}{lim}{S}_N& \{\begin{array}{ll}\mathrm{\exists }& \text{if }p>1\\ \text{DNE}& \text{if }p\le 1\end{array}\end{array}$$

Syn. Riemann zeta function

Contributors

Ajitani Hifumi

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