The sum to infinity of the series 1+2(...

The sum to infinity of the series
`1+2(1-(1)/(n))+3(1-(1)/(n))^(2)+ . . .. . . .`, is

A

`n^2`

B

n(n+1)

C

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

D

None of these

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The correct Answer is:

A

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