olymmath

Putnam 2021 A2

  • Session A

For every positive real number xx, let g(x)=lim⁡r→0((x+1)r+1−xr+1)1r.g(x) = \lim_{r \to 0} ((x+1)^{r+1} - x^{r+1})^{\frac{1}{r}}. Find lim⁡x→∞g(x)x\lim_{x \to \infty} \frac{g(x)}{x}.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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