Assertion: series's sum | /r/HasProperty | continuous
Facets:
value: at converges at x.
type: TEMPORAL
Source sentences:
text: However, for the case of real variables, Abel's theorem states that the sum of the series is continuous at x if the series converges at x.
text: The sum of this series is a continuous function, equal to f {\displaystyle f} , since the Fourier series converges in the mean to f {\displaystyle f} :