Root test
Criterio de la raíz
- Date
- 1821 · confidence high
- Place
- Paris, France
- Credited to
- Augustin-Louis Cauchy
- Field
- Knowledge & symbols
What was discovered
A convergence test for infinite series based on the limit superior of the n-th root of the absolute value of its terms: the series converges if that value is less than one.
Published by Cauchy in his 'Cours d'analyse' (1821).
What it led to
- Rigorous tools for convergence analysis
- A basis for later tests such as the ratio test