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The coefficent of x^(n) in the series ...

The coefficent of `x^(n)` in the series
`1+(a+bx)/(1!)+(a+bx)^(2)/(2!)+(a+bx)^(3)/(3!)`+…is

A

`((ab)^(n))/(n!)`

B

`e^(b)*(a^(n))/(n!)`

C

`e^(a)*(b^(n))/(n!)`

D

`e^(a+b)*(a^(n))/(n!)`

Text Solution

Verified by Experts

The correct Answer is:
C
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