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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))`

D

none of these

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The correct Answer is:
A
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