olymmath

Putnam 1950 A2

  • Session A
  1. Answer both (i) and (ii). Test for convergence the series (i) 1log⁡(2!)+1log⁡(3!)+1log⁡(4!)+⋯+1log⁡(n!)+⋯\frac{1}{\log (2!)}+\frac{1}{\log (3!)}+\frac{1}{\log (4!)}+\cdots+\frac{1}{\log (n!)}+\cdots (ii) 13+133+13333+⋯+13333⋯3n+⋯\frac{1}{3}+\frac{1}{3 \sqrt{3}}+\frac{1}{3 \sqrt{3} \sqrt[3]{3}}+\cdots+\frac{1}{3 \sqrt{3} \sqrt[3]{3} \cdots \sqrt[n]{3}}+\cdots.

Dataset text PutnamGAP. Quoted with source.

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