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  2. Convergence tests - Wikipedia

    en.wikipedia.org/wiki/Convergence_tests

    exists there are three possibilities: if L > 1 the series converges (this includes the case L = ∞) if L < 1 the series diverges; and if L = 1 the test is inconclusive. An alternative formulation of this test is as follows. Let { a n} be a series of real numbers. Then if b > 1 and K (a natural number) exist such that

  3. Integral test for convergence - Wikipedia

    en.wikipedia.org/wiki/Integral_test_for_convergence

    In mathematics, the integral test for convergence is a method used to test infinite series of monotonic terms for convergence. It was developed by Colin Maclaurin and Augustin-Louis Cauchy and is sometimes known as the Maclaurin–Cauchy test .

  4. 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.

  5. Cauchy condensation test - Wikipedia

    en.wikipedia.org/wiki/Cauchy_condensation_test

    In mathematics, the Cauchy condensation test, named after Augustin-Louis Cauchy, is a standard convergence test for infinite series. For a non-increasing sequence f ( n ) {\displaystyle f(n)} of non-negative real numbers , the series ∑ n = 1 ∞ f ( n ) {\textstyle \sum \limits _{n=1}^{\infty }f(n)} converges if and only if the "condensed ...

  6. 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.

  7. How to get a business line of credit - AOL

    www.aol.com/finance/business-line-credit...

    Some lines of credit charge a fee for opening the credit line with the lender. This fee typically costs 1 percent to 3 percent of the principal loan amount. Payment processing fee.

  8. What documents are required for a business line of credit? - AOL

    www.aol.com/finance/documents-required-business...

    Bankrate insight. According to the SBA weekly lending report, so far in 2023, most SBA CAPLines have loan amounts between $350,000 and $500,000 (14.3 percent) and $500,000 and $2 million (54.5 ...

  9. 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.