1. **State the problem:** Determine whether the series $$\sum_{n=1}^\infty \frac{1}{n^2}$$ converges or diverges. 2. **Recall the p-series test:** A p-series $$\sum_{n=1}^\infty \frac{1}{n^p}$$ converges if and only if $$p > 1$$ and diverges otherwise. 3. **Apply the test:** Here, $$p = 2$$ which is greater than 1. 4. **Conclusion:** Since $$p=2 > 1$$, the series $$\sum_{n=1}^\infty \frac{1}{n^2}$$ converges. 5. **Additional note:** This series is known as the Basel problem, and its sum converges to $$\frac{\pi^2}{6}$$, but the question only asks about convergence.