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The value of 1000[1/(1 xx 2) + 1/(2 xx 3...

The value of `1000[1/(1 xx 2) + 1/(2 xx 3) + .........+1/(999 xx 1000)]` is equal to

A

1000

B

999

C

1001

D

1/999

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The correct Answer is:
B
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