# Limit Problem

Level pending

$\lim _{n \to\infty}\left(\frac{\binom{3n}{n}}{\binom{2n}{n}}\right)^ \left(\frac{1}{n}\right)$

can be expressed in the form $$\frac{a}{b}$$, where $$a$$ and $$b$$ are coprime numbers. What is the value of a+b?

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