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If ( x + 1) ( x + 2) . . . ( x + n) = A...

If ` ( x + 1) ( x + 2) . . . ( x + n) = A_(0) + A_(1) x + . . . + A_(n) x^(n)` then ` A_(1) + 2 A_(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)/( 2) + (1)/( 3) + . . . . + (1)/( n + 1) ]`

D

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

Text Solution

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The correct Answer is:
A
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