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Infinite Series
Infinite Series Calculator
Test infinite series for convergence and calculate sums when they exist.
Series Type
Geometric
p-Series
Harmonic
Alternating
First Term (a)
Common Ratio (r)
Partial Sums
Series Formulas
Geometric Series
Σar^n = a/(1-r) when |r| < 1
p-Series
Σ1/n^p converges when p > 1
Harmonic Series
Σ1/n diverges (p=1 case)
Alt. Harmonic
Σ(-1)^(n+1)/n = ln(2)
Related Calculators
Convergence Tests
Geometric Sequence
Partial Sum
Sigma Notation