Ratio test
Test of convergence of series, which uses the ratio of adjacent terms
In mathematical analysis, the ratio test is a test (or "criterion") for the convergence of a series ∑ n = 1 ∞ a n , {\displaystyle \sum _{n=1}^{\infty }a_{n},} where each term is a real or complex number and all but finitely many terms are non-zero. The test was first published by Jean le Rond d'Alembert and is sometimes known as d'Alembert's ratio test or as the Cauchy ratio test.
Nº Q165638 ★★
Uncommon · Knowledge
Ratio test
Test of convergence of series, which uses the ratio of adjacent terms
In mathematical analysis, the ratio test is a test (or "criterion") for the convergence of a series ∑ n = 1 ∞ a n , {\displaystyle \sum _{n=1}^{\infty }a_{n},} where each term is a real or complex number and all but finitely many terms are non-zero. The test was first published by Jean le Rond d'Alembert and is sometimes known as d'Alembert's ratio test or as the Cauchy ratio test.
Last price
—
Floor price
—
7-day median
—
30-day sales
0
30-day range
—
In circulation
0
Price history
median
low – high
sales
No sales in this period
Show table
| Date | median | Low | High | sales |
|---|
Sales history
- Last sale
- —
- 30-day average
- —
- 30-day low
- —
- 30-day high
- —
- Sales 7d
- 0
- Sales 30d
- 0
No sales yet.
Anonymous sales: no buyer or seller shown. Figures count player-to-player sales only.
From Wikipedia
In mathematical analysis, the ratio test is a test (or "criterion") for the convergence of a series ∑ n = 1 ∞ a n , {\displaystyle \sum _{n=1}^{\infty }a_{n},} where each term is a real or complex number and all but finitely many terms are non-zero. The test was first published by Jean le Rond d'Alembert and is sometimes known as d'Alembert's ratio test or as the Cauchy ratio test.
Text: Wikipédia, CC BY-SA 4.0. · Image: Maurice Quentin de La Tour (Public domain) ·
Related cards
Root test
Criterion for the convergence of an infinite series
Nº Q846705 ★
Alternating series test
Method used to show that an alternating series is convergent
Nº Q914099 ★★
Stolz–Cesàro theorem
Theorem
Nº Q1052752 ★
Abel's test
Convergence test
Nº Q479834 ★
Limit (category theory)
Category theory term
Nº Q1322614 ★
Erdős–Szekeres theorem
Theorem that sufficiently long sequences of numbers have long monotonic subsequences
Nº Q976607 ★