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If (x + 1)(x + 2) …(x + n) = A0 + A1 x +...

If `(x + 1)(x + 2) …(x + n) = A_0 + A_1 x + ….+ A_n x^n` then `A_1 + 2A_2 + ….+ nA_n` =

A

`(n+1)! [1/2 + 1/3+ ....+ 1/(n + 1)]`

B

`n! [1/2 + 1/3+ ....+ 1/(n + 1)]`

C

`(n+1)! [1 + 1/3+ ....+ 1/(n + 1)]`

D

`n! [1 +1/2 + 1/3+ ....+ 1/(n + 1)]`

Text Solution

Verified by Experts

The correct Answer is:
A
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