$$(a_n)_{n=1}^{\infty}=\frac{n^{2} \sin\left ( \frac{1}{n} \right )}{2n+1}$$
Determine if the following sequence converges or diverges? İf converges, find its value.
2026-03-30 05:13:46.1774847626
Does $(a_n)_{n=1}^{\infty}=\frac{n^{2} \sin\left ( \frac{1}{n} \right )}{2n+1}$ diverges or converges?
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Hint. $\sin \frac{1}{n} \approx \frac{1}{n}$ as $n \to \infty.$