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. This test is helpful when it’s difficult to directly assess the convergence of the original series. By finding a suitable comparison series that converges or diverges, you can […]