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Putnam 1956 A1

Source: Putnam 1956

July 1, 2022
Putnamlimitgeometric series

Problem Statement

Evaluate \lim_{x\to \infty} \left( \frac{a^x -1}{x(a-1)} \right)^{1\slash x}, where a>0a>0 and a1.a\ne 1.