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Let $U_{n}=\sin(\frac{\pi }{n})$ and consider the series $\sum u_{n}$. Which of the following statements is false?

1. $\sum u_{n}$ is convergent
2. $u_{n}\rightarrow 0$ as $n\rightarrow \infty$
3. $\sum u_{n}$ is divergent
4. $\sum u_{n}$ is absolutely convergent

## 1 Answer

### 2 Comments

make it comment or explain the solution so it helps.
The link is a reference and answer is not clear.(so i just posted it since nobody answered it here)

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