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Does anybody know if this statement is true?
[itex]\sum[/itex] f_{n} converges absolutely and uniformly on S if ( f_{n}) converges uniformly.
Also if R is the radius of convergence and |x|< R does this imply uniform and absolute convergence or just absolute convergence.
[itex]\sum[/itex] f_{n} converges absolutely and uniformly on S if ( f_{n}) converges uniformly.
Also if R is the radius of convergence and |x|< R does this imply uniform and absolute convergence or just absolute convergence.