A Second Raabe’s Test and Other Series Tests

The classical D’Alembert’s Ratio Test is a powerful test that we learn from calculus to determine convergence for series of positive terms. Its range applicability and ease computation make this extremely appealing. However, when the limiting ratio terms equals 1, then inconclusive. Several tests like Raabe’s Gauss’ Tests have been proposed in order address case. These were also generalized by Kummer through Kummer’s Test. More recently, Second was constructed possessed an inconclusive This article presents survey existing tests, introduces extension Test, proposes extensions such as Gauss’s It offers proofs aforementioned brief application