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The sum of series 1+(1)/(2)""^(n)C(1)+(...

The sum of series `1+(1)/(2)""^(n)C_(1)+(1)/(3)""^(n)C_(2)+..... +(1)/(n+1)""^(n)C_(n)` is equal to

A

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

B

`(3(2^(n)-1))/(2n)`

C

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

D

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

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