Raabe's Test — Study Resources & PYQs
Raabe's test for convergence of positive term series.
- Estimated study time: 30 minutes
Study resources
- Raabe's Test and Logarithmic Test - Engineering Mathematics (Article) — Covers Raabe's test, used when the ratio test becomes inconclusive (limit = 1), with worked examples of the type asked in exams.
- All convergence tests (full course index) (Article) — Course overview page listing all 18 lessons: sequences, p-series, comparison, ratio, Raabe, logarithmic and Gauss tests, plus mixed challenging problems. Use the sidebar to jump to Raabe's test.
- arXiv - The Case for Raabe's Test (Hammond) (Article) — A modern paper stating Raabe's test precisely (the case the ratio test leaves undecided, i.e. limit = 1) with the convergence/divergence conditions and worked examples.
- Infinite Series - Unacademy course (Raabe's, Gauss's & Logarithmic Test, Hindi) (Video) — Course outline with dedicated Hindi-medium lessons on Raabe's test, Gauss's test and the logarithmic test - the exact tests used when D'Alembert's ratio test is inconclusive.
- LibreTexts — Sequences and Series (Article) — Series and convergence tests, comparison, alternating, ratio and root tests.
- Problem on Gauss Test - Engineering Mathematics (Article) — Gauss test explained through selected examples. This is the test to use when both the ratio test and Raabe's test fail, and it is a common 5-mark question.
- MIT OpenCourseWare — Fourier Series and Partial Differential Equations (Article) — MIT course materials covering Fourier series and partial differential equations.
Raabe's Test previous year questions
Taught in these subjects
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BST1201 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BST1201 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BST1201 · Government College of Engineering and Technology, Jammu