# Sequence and Limit

Calculus Level 1

If $$\{a_n\}$$ is a sequence satisfying $$\displaystyle \lim_{n\rightarrow \infty}\frac{a_n}{n}=\frac{1}{3},$$ what is $\displaystyle \lim_{n\rightarrow \infty}\frac{\sqrt{9n^2+n}-n}{a_n}?$

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