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  2. Convergence tests - Wikipedia

    en.wikipedia.org/wiki/Convergence_tests

    While most of the tests deal with the convergence of infinite series, they can also be used to show the convergence or divergence of infinite products. This can be achieved using following theorem: Let { a n } n = 1 ∞ {\displaystyle \left\{a_{n}\right\}_{n=1}^{\infty }} be a sequence of positive numbers.

  3. Dirichlet's test - Wikipedia

    en.wikipedia.org/wiki/Dirichlet's_test

    In mathematics, Dirichlet's test is a method of testing for the convergence of a series that is especially useful for proving conditional convergence. It is named after its author Peter Gustav Lejeune Dirichlet , and was published posthumously in the Journal de Mathématiques Pures et Appliquées in 1862.

  4. Weierstrass M-test - Wikipedia

    en.wikipedia.org/wiki/Weierstrass_M-test

    In mathematics, the Weierstrass M-test is a test for determining whether an infinite series of functions converges uniformly and absolutely. It applies to series whose terms are bounded functions with real or complex values, and is analogous to the comparison test for determining the convergence of series of real or complex numbers.

  5. Category:Convergence tests - Wikipedia

    en.wikipedia.org/wiki/Category:Convergence_tests

    In mathematics, convergence tests are methods to determine if an infinite series converges or diverges. Pages in category "Convergence tests" The following 17 pages are in this category, out of 17 total.

  6. Help:A quick guide to templates - Wikipedia

    en.wikipedia.org/.../Help:A_quick_guide_to_templates

    This is a quick overview of templates. Full details can be found in Help:Template, Wikipedia:Templates and m:Help:Advanced templates. A template is a Wikipedia page created to be included in other pages. It usually contains repetitive material that may need to show up on multiple articles or pages, often with customizable input.

  7. Cauchy's convergence test - Wikipedia

    en.wikipedia.org/wiki/Cauchy's_convergence_test

    The Cauchy convergence test is a method used to test infinite series for convergence. It relies on bounding sums of terms in the series. It relies on bounding sums of terms in the series. This convergence criterion is named after Augustin-Louis Cauchy who published it in his textbook Cours d'Analyse 1821.

  8. List of Microsoft Office filename extensions - Wikipedia

    en.wikipedia.org/wiki/List_of_Microsoft_Office...

    Office Open XML (OOXML) format was introduced with Microsoft Office 2007 and became the default format of Microsoft Word ever since. Pertaining file extensions include:.docx – Word document.docm – Word macro-enabled document; same as docx, but may contain macros and scripts.dotx – Word template

  9. Abel's test - Wikipedia

    en.wikipedia.org/wiki/Abel's_test

    Abel's uniform convergence test is a criterion for the uniform convergence of a series of functions or an improper integration of functions dependent on parameters. It is related to Abel's test for the convergence of an ordinary series of real numbers, and the proof relies on the same technique of summation by parts. The test is as follows.