series convergence — free browser tool | fatcousin

race the harmonic basel and alternating series side by side · convergence vs divergence · runs locally

terms N

N = 100

∑ 1/kS_100=5.1874→ ∞ (diverges)∑ (−1)^(k+1)/kS_100=0.6882→ ln 2 ≈ 0.69315∑ 1/k²S_100=1.6350→ π²/6 ≈ 1.64493