A generalization of the p-series test in determining convergence or divergence of an infinite series

• Main Author: Lawas, Cresencia M.
• Format: text
• Published: Animo Repository 2003
• Subjects: Series, Infinite; Convergence; Divergent series; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/7733
• Institution: De La Salle University

Let an =ƒ(n)/g(n) whereƒ and g are polynomials of degrees r and s respectively, and r < s so that limn->oo an = 0. The traditional method in determining convergence or divergence of an infinite series of the form En 00=1 an uses the limit-comparison test where the general term an of the given...