1. The problem is to identify whether a given series is a p-series. 2. A p-series is a series of the form $$\sum_{n=1}^\infty \frac{1}{n^p}$$ where $p$ is a positive constant. 3. To identify a p-series, check if the terms of the series can be written as $\frac{1}{n^p}$ for some $p$. 4. Important rule: If $p > 1$, the p-series converges; if $p \leq 1$, it diverges. 5. For example, the series $$\sum_{n=1}^\infty \frac{1}{n^2}$$ is a p-series with $p=2$ and it converges. 6. If the series is not exactly in this form, it is not a p-series. 7. So, identifying a p-series involves recognizing the general term as $\frac{1}{n^p}$ and determining the value of $p$.