Let S_{k},k = 1,2,,100, denote the sum of the infinite geometric series whose first term is \frac{k - 1}{k!} and the common ratio is \frac{1}{k}. Then the value of \frac{100^{2}}{100!} + \sum_{k = 1}^{100}\mspace{2mu}| ( k^{2} - 3k + 1 )S_{k} | is: Sequence & Series (Mathematics) | DivineJEE