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Let S(k) =sum( i =0) ^(oo) (1)/((k +1)^(...

Let `S_(k) =sum_( i =0) ^(oo) (1)/((k +1)^(t)),` then `sum _(k =1) ^(n) kS_(k)` equal :

A

`(n(n+1))/2`

B

`(n(n-1))/2`

C

`(n(n+2))/2`

D

`(n(n+3))/2`

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Verified by Experts

The correct Answer is:
D
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