# Wolfram Alpha can't calculate this limit, can you?

Calculus Level 5

If $$\displaystyle \lim_{n \to \infty} \left(\frac{{5n \choose 2n}}{{3n \choose 2n}} \right)^{\frac{1}{n}}$$ can be expressed as $$\dfrac{p}{q}$$, for coprimes $$p$$ and $$q$$, what is the value of $$p+q?$$

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