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If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+....+C...

If `(1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+....+C_(n)x^(n)`, then prove that :
(i) `C_(1)+2C_(2)+......+nC_(n)=n*2^(n-1)`
(ii) `C_(1)-2C_(2)+......+(-1)^(n-1)nC_(n)=0`

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