Let `S_k ,k=1,2, ,100 ,` denotes thesum of the infinite geometric series whose first term s `(k-1)/(k !)` and the common ratio is `1/k` , then the value of `(100^2)/(100 !)+sum_(k=1)^(100)(k^2-3k+1)S_k` is _______.

Let S_k ,k=1,2, ,100 , denotes thesum of the infinite geometric series whose first term s (k-1)/(k !) and the common ratio is 1/k , then the value of (100^2)/(100 !)+sum_(k=2)^(100)(k^2-3k+1)S_k is _______.

Let S_k,k=1, 2, …. 100 denote the sum of the infinite geometric series whose first term is (k-1)/(K!) and the common ration is 1/k then the value of (100)^2/(100!)+ Sigma_(k=1)^(100) |(k^2-3k+1)S_k| is ____________

Let s_k, k=1,2,3,…,100 denote 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 is

Let S_k,k=1, 2, …. 100 denote 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)Sigma|(k^2-3k+1)S_k| is ____________

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!) +sum_(k=2)^(100) | (k^(2) - 3k +1) S_(k)| is....

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!) +sum_(k=2)^(100) | (k^(2) - 3k +1) S_(k)| is....

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!) +sum_(k=2)^(100) | (k^(2) - 3k +1) S_(k)| is....

Let S_k,k=1, 2, …. 100 denote the sum of the infinite geometric series whose first term is (k-1)/(K!) and the common ration is 1/k then the value of (100)^2/(100!)+underset(k=1)overset(100)Sigma|(k^2-3k+1)S_k| is ____________

Let S_(k) , be the sum of an infinite geometric series whose first term is kand common ratio is (k)/(k+1)(kgt0) . Then the value of sum_(k=1)^(oo)(-1)^(k)/(S_(k)) is equal to