Series Calculator
Compute partial sums and analyze convergence of infinite series. Test series using comparison, ratio, root, and integral tests.
Input
Classic Series
Result
Enter a series and click Compute
How This Calculator Works
Enter the general term of a series and set the starting index and number of terms. The calculator computes each partial sum incrementally, displaying a table so you can observe convergence or divergence behavior directly.
Partial Sum Tables
View every partial sum from the first term to the Nth. This is useful for spotting convergence patterns, estimating limits of convergent series, or confirming divergence when partial sums grow without bound.
Convergence Tests
Pro members get automatic convergence analysis using the ratio test, root test, comparison test, and integral test. The tool determines whether a series converges or diverges and explains which test applies.