Hi. Can I have some help in answering the following questions? Thank you.

Let {f_n} be a sequence of functions fromN(set of natural numbers) toR(real nos.) where

f_n (s)=1/n if 1<=s<=n

f_n (s)=0 if s>n.

Define f:NtoRby f(s)=0 for every s>=1.

a) Does {f_n} (n=1 to inf) converge to f in theR^N(cartesian product) endowed with the product topology?

b) when endowed with the box topology?

Thanks again.