olymmath

Putnam 1995 A2

  • Session A

For what pairs (a,b)(a,b) of positive real numbers does the improper integral ∫b∞(x+a−x−x−x−b)dx\int_{b}^{\infty} \left( \sqrt{\sqrt{x+a}-\sqrt{x}} - \sqrt{\sqrt{x}-\sqrt{x-b}} \right) dx converge?

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Kiran Kedlaya

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