यदि x=1+a+a^(2)+….. अनन्त पदों तक (a ...

यदि `x=1+a+a^(2)+…..` अनन्त पदों तक `(a lt 1)` तथा
`y=1+b+b^(2)+…….` अनन्त पदों तक `(b lt 1),`
तो सिद्ध करो कि
`1+ab+a^(2)b^(2)+......oo=(xy)/(x+y-1).`

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