Question: Do the following sequences converge or diverge? If a sequence converges, find its limit. You do not need to show work.

1. \(a_{n}=\frac{n}{5}-\frac{5}{n}\)
2. \(b_{n}=\left(\sin \frac{1}{n}\right)^{2}\)
3. \(c_{n}=(-1)^{n} \frac{2^{n}}{1+2^{n}}\)

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