D'Alembert Ratio Test — Study Resources & PYQs
Ratio test for determining convergence or divergence of infinite series.
- Estimated study time: 30 minutes
Study resources
- Paul's Online Notes - Ratio Test practice problems (Article) — Practice problems with worked solutions on the ratio test. Especially useful for series containing factorials, where the ratio test is the only workable test.
- Infinite Series 2.0 - GP Sir (Ratio Test lectures) (Video) — Inside this playlist, look for the D'Alembert ratio test lectures. GP Sir also explains what to do when the ratio test fails (limit = 1), which leads directly into Raabe's test.
- Paul's Online Notes - Ratio Test (Article) — Clear statement and proof of the ratio test for absolute convergence, with fully worked practice problems - especially useful for series containing factorials.
- Infinite Series (Convergence & Divergence) - Dr. Gajendra Purohit (GP Sir) (Video) — An 85-video YouTube playlist working through every convergence/divergence test for infinite series (p-series, comparison, ratio, root, Raabe's, Gauss's, logarithmic, alternating, absolute/conditional…
- LibreTexts — Sequences and Series (Article) — Series and convergence tests, comparison, alternating, ratio and root tests.
D'Alembert Ratio 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 — 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