Find the sum 1/2!+2/3!+3/4!+...+(n−1)/n!. Express your answer in terms of n.
1/2 + 1/3 + 1/8 + 1/30 + 1/144 + 1/840 + ........
Progressive sums
5/6, 23/24, 119/120, 719 / 720, 5039 / 5040 + ...... = (n! - 1) /n! = n! / n ! + 1 / n!
Note that n! / n! = 1 (for integer n ≥ 3)
And as n gets very large, 1 / n! ≈ 0
So....the sum = 1
I don't think the answer is right
Do you think you might of did something wrong?