olymmath

Putnam 1938 A5

  • Session A
  1. Evaluate the following limits: (i) lim⁡n→∞n2en\lim _{n \rightarrow \infty} \frac{n^{2}}{e^{n}}. (ii) lim⁡x→01x∫0x(1+sin⁡2t)1/tdt\lim _{x \rightarrow 0} \frac{1}{x} \int_{0}^{x}(1+\sin 2 t)^{1 / t} d t.

Dataset text PutnamGAP. Quoted with source.

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