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If |alpha|lt1,|beta|lt1 1-alpha+alpha^...

If `|alpha|lt1,|beta|lt1`
`1-alpha+alpha^(2)-alpha^(3)+ . . . . ."to "oo=s_(1)`
`1-beta+beta^(2)-beta^(3)+ . . . ."to "oo=s_(2)`, then
`1-alphabeta+alpha^(2)beta^(3)+ . . . . ."to "oo` equals

A

`s_1s_2`

B

`(s_1s_2)/(1+s_1s_2)`

C

`(s_1s_2)/(1-s_1-s_2+2s_1s_2)`

D

`1/(1+s_1s_2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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