About the Infinite Series Calculator
An infinite series adds infinitely many terms. It converges if its partial sums approach a finite number — Σ1/2ⁿ = 1 and Σ1/n² = π²/6 — and diverges otherwise, like the harmonic series Σ1/n, which grows without limit even though its terms shrink to 0.
The calculator applies the standard tests in order: the n-th term test, the ratio test, the alternating series test and comparison with a p-series. If the series converges it estimates the sum from 200,000 terms with a tail correction and recognises famous exact values such as π²/6 and ln 2.