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Infinite series
Definition
| $ S \in \mathrm{Sequence}(M)$ | $M$…magma, metric space |
| $\sum_{k=1}^\infty S_k\equiv \mathrm{lim}_{n\to\infty}\Sigma_n$ |
Here $\Sigma_n$ is the n'th element of the Sequence of partial sums.
Discussion
This is similar to Finite series, except that here we don't choose a finite $n$ but $M$ must be a metric space so we can take the limit.
Context
Requirements
