MathDB
Beautiful limit, in my opinion: floor of logarithm of sum

Source:

November 25, 2019
limitsFloorlimits of sequencesinequalitieslogarithmsBernoulli s Inequality

Problem Statement

lim⁡n→∞1n!n⌊log⁡5∑k=21+5nk5n⌋ \lim_{n\to\infty }\frac{1}{\sqrt[n]{n!}}\left\lfloor \log_5 \sum_{k=2}^{1+5^n} \sqrt[5^n]{k} \right\rfloor
Taclit Daniela Nadia
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