Let `S_(k)`, where `k = 1,2`,....,100, denotes the sum of the infinite geometric series whose fir
Channel: Doubtnut
Date: 2019-12-29

Let `S_(k)`, where `k = 1,2`,....,100, denotes the sum of the infinite geometric series whose first term is `(k -1)/(k!)` and the common ratio is `(1)/(k)`. Then, the value of `(100^(2))/(100!) + underset(k=1)overset(100)sum | (k^(2) - 3k +1) S_(k)|` is....