Question
35 of
100
Question Palette
1/2! + 2/3! + 3/4! + ...... up to n terms =
Correct Option:
A
Explanation
The general term k/(k + 1)! can be written as 1/k! − 1/(k + 1)!. Therefore the series telescopes: 1/2! + 2/3! + ... + n/(n + 1)! = 1 − 1/(n + 1)!.