Mathematics - Real Analysis - Sequences and series - Sequence Convergence Visualizer

Show a number line. Plot terms of a sequence one by one: a_n = 1/n → dots at 1, 0.5, 0.333, 0.25, ... The dots cluster toward 0. An ε-band around the limit (0±ε) is shown. Student adjusts ε with a slider. For any ε, there's an N where all terms beyond a_N are inside the band. Compare with a_n = (-1)