Wikipedia: Augustin Louis Cauchy

Difference (from prior minor revision) (major diff)

Changed: 6c6

** this is applicable to [improper integrals]?, families of functions, and series by verifying that a Cauchy sequence is obtained, and then using the underlying metric space's completeness to show convergence.

Augustin Louis Cauchy was a French mathematician born in 1789, died in 1857.

He developed a test for convergence? of an infinite series of numbers.
- this test is that given a sequence p_n,
  - the series (sumover) p_n and (sumover) 2ⁿp_2ⁿ either both diverge or both converge.
- this is applicable to [improper integrals]?, families of functions, and series by verifying that a Cauchy sequence is obtained, and then using the underlying metric space's completeness to show convergence.