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If X=1+a+a^(2)+a^(3)+"..."+infty " and "...

If `X=1+a+a^(2)+a^(3)+"..."+infty " and " y=1+b+b^(2)+b^(3)+"..."+infty "` show that `1+ab+a^(2)b^(2)+a^(3)b^(3)+"..."+infty=(xy)/(x+y-1), "where " 0ltalt1" and "0ltblt1`.

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