Series Convergence Calculator

Build the general term from a coefficient, a power of n, a power of ln n, an exponential base and an optional factorial or n to the n, then pick a test. Each tab returns that test's limit, whether the series converges, diverges or is undecided, and the reasoning that produced it, including the remainder bound for an alternating series. The ratio and root tests are honest about the case they cannot settle, and say which test does and what it concludes. Nothing here is summed numerically and nothing is estimated, so a term outside that shape is out of scope rather than approximated.