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

If `(1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+ . . .+C_(n)x^(n)`, then the value of :
`C_(1)+2C_(2)+3C_(3)+ . . .+nC_(n) ` is:

A

`((2 n) !)/((n !)^(2)) `

B

`((2 n) !)/((n-1) !(n+1) !) `

C

`((2 n) !)/((n-2) !(n+2) !) `

D

`((2 n) !)/((n+2) !) `

Text Solution

Verified by Experts

The correct Answer is:
B
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