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Question 54
Let $$S_k = 1, 2, .... 100$$, denote the sumof the infinite geometric series whose first term is $$\frac{k-1}{k!}$$ and the common ratio is $$\frac{1}{k}$$. Then the value of $$\frac{100^2}{100!}+\sum_{k=1}^{100}\mid (k^2 - 3k + 1)S_k \mid$$ is
Correct Answer: 3
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