# A simple problem in a package

Calculus Level 3

Let $$x_1, x_2, x_3, \ldots$$ be roots of the function $f(x) = \sin{\left( \dfrac{\pi \ln{(x)}}{\ln3} \right)}$ where $$1 < x_1 < x_2 < x_3 < \cdots$$.

What is the value of $\sum_{n=1}^{\infty} \dfrac{1}{x_n} \quad ?$

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