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Let Sk,k=1, 2, …. 100 denote the sum of ...

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 ____________`

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