The value of 1000[(1)/(1xx2)+(1)/(2xx3)+...

The value of `1000[(1)/(1xx2)+(1)/(2xx3)+(1)/(3xx4)+.....+(1)/(999xx1000)]` is equal to -

A

1000

B

999

C

1001

D

`(1)/(999)`

Verified by Experts

The correct Answer is:

B

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