$$\lim_{n \rightarrow \infty} \sum_{k=1}^n \sqrt{n^4+k} \ sin\frac{2k\pi}{n}$$ I have found this Riemann Sum look-alike, but I have no idea how to approach it. Can you perhaps help me solve this?
The answer should be $-\frac{1}{4\pi} $.
2026-03-25 08:08:40.1774426120
Riemann Sum look-alike
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