Search

A well-known puzzle involving the repeated flying of a swallow between two cyclists is extended to investigate the effect of nonuniform speeds. The resulting generalizations provide examples that can be used in the context of the teaching aspects of the manipulation of infinite series, including the use of telescoping sums and products. [ABSTRACT FROM AUTHOR]

In this paper we discuss the important Abel's summation formula, which is a very powerful tool for analysing series of real or complex numbers. We derive from it an integral test which may be useful in cases where the classical integral test may not be applied. We also discuss how this new integral test may be used when one is dealing with alternating series of real or complex numbers. The main goal of this note is to provide a supplementary material for courses dealing with infinite series of real or complex numbers. [ABSTRACT FROM AUTHOR]

A class of infinite series is evaluated with the aid of Taylor's theorem and a comparison is made with other methods. [ABSTRACT FROM AUTHOR]

In this note it is shown how closed sums of infinite series may be used to construct efficient economized formulas for microstrip electrical impedances. [ABSTRACT FROM AUTHOR]