FTP, what is this property of a series indicating that it converges to a well-defined function of x?
Ways of testing for this property include Abel's test and the Weierstrass M-test. If the individual terms of the series are continuous, then the series may be integrated or differentiated term by term, and the series sum will also be continuous. Abel's Convergence Theorem shows the domain of this property for a Taylor series. FTP, what is this property of a series indicating that it converges to a well-defined function of x?
Ways of testing for this property include Abel's test and the Weierstrass M-test.
{uniform} convergence