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If (1+x)^(n)=1+""^(n)C(1)x+""^(n)C(2)x^...

If `(1+x)^(n)=1+""^(n)C_(1)x+""^(n)C_(2)x^(2)+….+""^(n)C_(n) x^(n)` show that, `n*2^(n-1)=""^(n)C_(1)+2*""^(n)C_(2)+….. +n*""^(n)C_(n)`.

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