theory and application of infinite series dover b
s p-Series: Series of the form \(\sum_{n=1}^{\infty} \frac{1}{n^p}\). Converges if \(p > 1\), diverges otherwise. Comparison Test: Used to determine convergence by comparing with known series. 3. Alternating Series Series with alternating signs, such as: \[ \sum_{n=1}^{\infty} (-1)^{n+1} a_