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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-a x)(1-b x)]` is a`a_0+a_1x+a_2x^2+a_3x^3+ ,t h e na_n i s` `(b^n-a^n)/(b-a)` b. `(a^n-b^n)/(b-a)` c. `(b^(n+1)-a^(n+1))/(b-a)` d. `(a^(n+1)-b^(n+1))/(b-a)`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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