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Find .^(n)C(1)-(1)/(2).^(n)C(2)+(1)/(3)....

Find `.^(n)C_(1)-(1)/(2).^(n)C_(2)+(1)/(3).^(n)C_(3)- . . . +(-1)^(n-1)(1)/(n).^(n)C_(n)`

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The correct Answer is:
`1+(1)/(2)+(1)/(3)+ . . .+(1)/(n)`
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