# The Loga-rhythm of Harmony

Calculus Level 5

$\large \lim_{n \rightarrow \infty} \left[ f(H_{10^{n}}) \right]^{-\frac{1}{10^{n}}}$

Let $$f$$ be the Thomae function and $$H_{n}$$ be the nth harmonic number. Evaluate the limit above.

×