olymmath

BALKAN 1995 Problem 1

  • Paper

For all real numbers x,yx,y define x⋆y=x+y1+xyx\star y = \frac{ x+y}{ 1+xy} . Evaluate the expression (⋯(((2⋆3)⋆4)⋆5)⋆⋯ )⋆1995.( \cdots (((2 \star 3) \star 4) \star 5) \star \cdots ) \star 1995.

Macedonia

Dataset text AI-MO AoPS. Quoted with source.

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