How to Use Comparison test for Convergence
If \(0≤an≤bn\) for all \(n\) large enough and \(\sum b_n\) converges, then \(\sum a_n\) also converges. If \(an≥bn\) and \(\sum b_n\) diverges, then \(\sum a_n\) also diverges. The Comparison Test decides a series by bounding it against one whose behavior is known: if a series is term-by-term smaller than a convergent series it converges, and […]