Harmonic Series Calculator: Sum & Convergence AnalysisBy Daniel Sir / September 13, 2026 Harmonic Series: H(n) = Σ 1/k Sum of 1/1 + 1/2 + 1/3 + … + 1/n Calculate up to n:Calculate H(n) Results H(n) = Note: The harmonic series diverges (grows without bound). H(n) ≈ ln(n) + γ where γ ≈ 0.5772 (Euler-Mascheroni constant)