Absolute and conditional convergence
General · Mathematics
Study notes
Q: Classify Σ(-1)ⁿ/n and Σ(-1)ⁿ/n². Σ(-1)ⁿ/n: converges (alternating harmonic, Leibniz!); Σ|·| = Σ1/n diverges: CONDITIONAL! Σ(-1)ⁿ/n²: Σ|·| = Σ1/n² converges: ABSOLUTE! Absolute → convergent always (triangle inequality on tails!).