If \(N\) is a positive integer, what is the last digit of \(1! + 2! + \cdots +N!?\)

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If \(N\) is a positive integer, what is the last digit of \(1! + 2! + \cdots +N!?\)

(1) \(N\) is divisible by 4
(2) \(\dfrac{N^2 + 1}{5}\) is an odd integer.

[spoiler]OA=D[/spoiler]

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