'''convergence interval, interval of convergence, 수렴구간'''
## convergence_interval interval_of_convergence

FROM [[수렴,convergence#s-4]]

비교: [[수렴반지름,convergence_radius]]

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Ex.
||Series ||'''수렴구간''' ||수렴반지름 ||
||$\sum_{n=0}^{\infty}x^n$ ||$(-1,1)$ ||$R=1$ ||
||$\sum_{n=0}^{\infty}n!x^n$ ||$\{0\}$ ||$R=0$ ||
||$\sum_{n=1}^{\infty}\frac{(x-3)^n}{n}$ ||$[2,4)$ ||$R=1$ ||
||$\sum_{n=0}^{\infty}\frac{(-1)^n x^{2n}}{2^{2n} (n!)^2}$ ||$(-\infty,\infty)$ ||$R=\infty$ ||

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Up: [[수렴,convergence]] [[구간,interval]]