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Does ∑n=1∞n4sin⁡nn5+4\sum_{n=1}^{\infty} \frac{n^{4} \sin n}{n^{5}+4} Converge

Question 68

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Does ∑n=1∞n4sin⁡nn5+4\sum_{n=1}^{\infty} \frac{n^{4} \sin n}{n^{5}+4} converge?

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