Does anyone want a really enjoyable Maths problem I've been thinking about for days?
Prove that (Xn): (any) n Xn=1+1/1!+1/2!+1/3!.....+1/n! converges and lim(Xn)=lim(Yn), where
( (any) is upside down A, n in the end is power)
I know asking homework-based questions is unethical, but I've been doing it for 2 weeks and my teacher tells me it is very enjoyable...