Art of Problem Solving

2006 SMT/Advanced Topics Problems/Problem 5: Revision history

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27 May 2012

  • curprev 19:5819:58, 27 May 2012 Admin25 talk contribs 1,065 bytes +1,065 Created page with "==Problem== Evaluate: <math> \sum_{k=1}^{\infty}\frac{1}{k\sqrt{k+2}+(k+2)\sqrt{k}} </math> ==Solution== We try to rationalize the denominators. We have <math> \frac{1}{k\sqrt{k..."