I came across the following series in my math homework (Fourier Series):
Does the following series converge or diverge? If converges, does it converge absolutely?
Typically, I would be well equipped to answer the question, however the "n=$-\infty$" is giving me trouble. Normally, if "n=$0$", the alternating series test could show convergence, and a direct comparison test with a p-series could show absolute convergence. How does the "$-\infty$" change the problem, if at all?