# Chinese problem

Calculus Level pending

Given a sequence with general term $$X(n) = \dfrac{3n-5}{9n+4}$$. Find the number of integers $$n$$ for which $$X(n)$$ lying outside the open interval $$L = \left( \dfrac13 - \dfrac1{1000} , \dfrac13 + \dfrac1{1000} \right)$$.

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