I need an exmaple of example of using dirichlet's test for assessing if functions series are convergent. please help
Dirichlet's test says:
Let be a complex serie with bounded partial sums and let be a decreasing sequence of real numbers then the serie converges.
Take for example the decreasing sequence and the serie , this serie doesn't converge but the partial sums are bounded therefore by Dirichlet's criterium the serie converges.