A series converges if its partial sums form a Cauchy sequence. As a consequence, for a convergent series, the underlying sequence necessarily needs to converge to zero.
Study Cauchy Criterion
Solve the WeBWorK Exercise
The data for the interactive network on this webpage was generated with pntfx Copyright Fabian Gabel and Julian Großmann. pntfx is licensed under the MIT license. Visualization of the network uses the open-source graph theory library Cytoscape.js licensed under the MIT license.