[Home]History of Augustin Louis Cauchy

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Revision 5 . . (edit) September 7, 2001 1:44 am by (logged).180.71.xxx
Revision 2 . . September 7, 2001 1:37 am by (logged).180.71.xxx
  

Difference (from prior major revision) (minor diff)

Changed: 5,6c5,6
*** the series (sumover) pn</n> and (sumover) 2<super>n</super>p<sub>2<super>n</super> 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.
*** the series (sumover) pn and (sumover) 2np2n 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.

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