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If x=1+a+a^2+a^3+......infty and y=1+b+b...

If `x=1+a+a^2+a^3+......infty` and `y=1+b+b^2+b^3+......infty` show that `1+ab+a^2b^2+a^3b^3+....infty=(xy)/(x+y-1)` where 0 lt alt1 and 0ltblt1.

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