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  2. Convergence tests - Wikipedia

    en.wikipedia.org/wiki/Convergence_tests

    The test is inconclusive if the limit of the summand is zero. This is also known as the nth-term test , test for divergence , or the divergence test . Ratio test

  3. nth-term test - Wikipedia

    en.wikipedia.org/wiki/Nth-term_test

    In mathematics, the nth-term test for divergence [1] is a simple test for the divergence of an infinite series: If lim n → ∞ a n ≠ 0 {\displaystyle \lim _{n\to \infty }a_{n}\neq 0} or if the limit does not exist, then ∑ n = 1 ∞ a n {\displaystyle \sum _{n=1}^{\infty }a_{n}} diverges.

  4. Ratio test - Wikipedia

    en.wikipedia.org/wiki/Ratio_test

    In mathematics, the ratio test is a test (or "criterion") for the convergence of a series =, where each term is a real or complex number and a n is nonzero when n is large. 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.

  5. Limit comparison test - Wikipedia

    en.wikipedia.org/wiki/Limit_comparison_test

    In mathematics, the limit comparison test (LCT) (in contrast with the related direct comparison test) is a method of testing for the convergence of an infinite series. Statement [ edit ]

  6. Summation - Wikipedia

    en.wikipedia.org/wiki/Summation

    Summation of a sequence of only one summand results in the summand itself. Summation of an empty sequence (a sequence with no elements), by convention, results in 0. Very often, the elements of a sequence are defined, through a regular pattern, as a function of their place in the sequence. For simple patterns, summation of long sequences may be ...

  7. These Are the Healthiest Fast Food Restaurants, According to ...

    www.aol.com/lifestyle/healthiest-fast-food...

    Fast food gets a bad rap for being unhealthy, but there are healthy fast food options at chains like McDonald’s, Pizza Hut, and Sonic. Dietitians explain.

  8. 2025 Critics Choice Awards Nominations: “Wicked” and ...

    www.aol.com/2025-critics-choice-awards...

    The 2025 Critics Choice Awards gala, hosted by Chelsea Handler, will broadcast live on E! on Sunday, Jan. 12 from 7 to 10 p.m. ET from the Barker Hangar in Santa Monica.

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