The appellation IVl signifies that the series is bilateral, with one set of factors in the numerator and one in the denominator. In the words of Bruce Berndt [1], [12], to whom we owe so much for his exegesis of Ramanujan's work, (1.1) first brought before the mathematical world by Hardy in 1940 [20], in the last of Hardy's lectures on Ramanujan. It was first brought before the readership of this MONTHLY by Richard Askey in 1980 [8]. Our goal is to show how (1.1) is a natural continuation of [13], a paper of Cauchy best known for a result that we call the Cauchy-Crelle series.