Absolute vs Conditional Convergence: Key Differences Explained
A series converges absolutely if the series of absolute values Σ|aₙ| converges. It converges conditionally if Σaₙ converges but Σ|aₙ| diverges; the alternating harmonic series 1 − 1/2 + 1/3 − 1/4 + … is the classic example. Absolute convergence always implies convergence, and only conditionally convergent series can be rearranged to add up to […]