Abstract

In the study of infinite series, the ratio test is a useful and easily applicable technique. However, as with all tests, it has its limitations and, for example, breaks down in the well known situation in which the ratio sequence converges to the value 1. When this occurs various procedures can be followed, some of which are discussed in [1]. In this note, some comments will be made on [1], and the usefulness of the gamma function in certain critical cases will also be discussed.

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