# Binomial limit

Calculus Level 4

$\large \lim_{n \to \infty} \left(\frac{\binom{3n}{n} }{\binom{2n}{n} }\right) ^{\frac{1}{n}} = \frac{a}{b}$

The equation above holds true for coprime integers $a$ and $b$. What is $a+b$?

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