Hello,

I have been trying to solve this problem for the last hour and haven't gotten anywhere. Got any ideas?

#1

(1 - 1/2)(1 - 1/2^2)...(1-1/n^2)=n+1/2n

Prove: (1-(1/(n+1)^2) + (n+1)/2n = (n+2)/(2n+2) for all integers >=2 (greater/equal)

#2

2^n < (n+2)!, for all integers n >= 0