Consider these two sequences of functions below, where the domains are [0, 2 pi].

A = { sin (nx) | n=1,2,3,4,... }

B = { sin (x+n) | n=1,2,3,4... }

One is equicintinuous while the other is not. Explain. For the sequence that is equicontinuous, how would you find a convergent subsequene?