Let Asub2n-1 =(0,n/2^n) and Asub2n = (0, 2^n/n), Bsub2n-1 =[0,n/2^n] and Bsub2n =[0, 2^n/n] for n = 1,2,... find lim sup An, lim inf An, lim sup Bn, and lim inf Bn.
The Attempt at a Solution
I know lim n/2^n approaches 0 as n approaches inf and lim 2^n/n approaches inf as n approaches inf but then where do I go??
lim An = lim sup An = (0,∞) (under lim m→∞, under sup n≥m) and lim An = lim inf An = (0,0) (under lim m→∞, under inf n≥m)??