The conversation between human and AI assistant.
Is [math]\displaystyle\sum_{n=1}^{\infty} 2 \sin\left(\frac{2}{n}\right) [/math] convergent or divergent?
I have a question about a math problem. Is [math]\displaystyle\sum_{n=1}^{\infty} 2 \sin\left(\frac{2}{n}\right) [/math] convergent or divergent?
Let me check on that for you. From my calculation, the series is divergent.