A convergence-divergence test for series of nonnegative terms
The authors present a new convergence-divergence test for series of nonnegative terms. The proof is elegant and short and the result can be used to decide about divergence or convergence for example for the apparently difficult series \(\sum_{n=1}^{\infty }n^{-2-\cos n}\) or \( \sum_{n=1}^{\infty }n^{-1}((2+\cos n)/3)^{n}\).
scientific article; zbMATH DE number 5992159