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sum(n = 1)^(1000) int(n - 1)^(n) e^(x-[x...

`sum_(n = 1)^(1000) int_(n - 1)^(n) e^(x-[x]) dx`, whose [x] is the greatest integer function, is :

A

`1000 (e - 1)`

B

`(e - 1)/(1000)`

C

`(e^(1000) - 1)/(1000)`

D

`(e^(1000) - 1)/(e - 1)`

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The correct Answer is:
A
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