Hello. I need help in calculating the limit.
Lim((sqrt((n+1)*(n+2)*(n+3)*...*(2n-1)*2*n) of n)/n), n=infinity.
Surely, it exists.
I can't understand how I shall express the root of the product in the nominator or should I. I can understand that there must be k*n in the nominator, but I don't know how to find this k. simple product of n is not suitable.
Great thanks for everybody who will try to help me.
I thought it was smth more complicated about grouping. Is it possible to reduce to sum? Can we omit everything except numbers and 1/(n+1)? By grouping (n+1)*(1+2/(1+n))^(1/n).....
Doing this we get (1+1/(n+1))*(1+2/(n+1).....). Of course, root of n.
What do you think?