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If the expansion in powers of x of the f...

If the expansion in powers of x of the function `(1)/((1-ax)(1-bx))` is `a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+ .. . . ` then `a_(n)` is:

A

`(b^(n)-a^(n))/(b-a)`

B

`(a^(n)-b^(n))/(b-a)`

C

`(a^(n+1)-b^(n+1))/(b-a)`

D

`(b^(n+1)-a^(n+1))/(b-a)`

Text Solution

Verified by Experts

The correct Answer is:
D
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