(a) Let M be a complete metric space and A C M. If A is totally...

 

Transcribed Image Text:

(a) Let M be a complete metric space and A C M. If A is totally bounded, show that cl(A) is compact. (b) Let 1k be a series in a complete normed vector space. Show that if k converges absolutely, then the series converges. (a) Let M be a complete metric space and A C M. If A is totally bounded, show that cl(A) is compact. (b) Let 1k be a series in a complete normed vector space. Show that if k converges absolutely, then the series converges.