HOTS : Progression & Series

Prob 2.     If |x| < 1 and |y| < 1 then prove that

   (x +y) +(x2+ xy+ y2) + (x3+ x2y + xy2+ y3) +  . ..  .∞

Sol.    The given sum S = (x + y) +(x2 + xy + y2) + ….

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