Calculus
Series Convergence Calculator
Lets users solve and check series convergence instantly with formula, steps and examples — no manual math.
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Convergence
Converges (ratio test: L < 1)
Ratio-test limit L ≈ 0.5 → Converges (ratio test: L < 1). Partial sum ≈ 1.
Ratio-test limit L
0.5
Partial sum (2000 terms)
1
About this calculator
Applies the ratio test: L = lim |aₙ₊₁/aₙ|. The series converges if L < 1, diverges if L > 1, and is inconclusive if L = 1 (e.g. p-series). Also shows a partial sum.
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