- integral test for convergence
- całkowe kryterium zbieżności
English-Polish dictionary for engineers. 2013.
integral test for convergence
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Integral test for convergence — In mathematics, the integral test for convergence is a method used to test infinite series of non negative terms for convergence. An early form of the test of convergence was developed in India by Madhava in the 14th century, and by his followers … Wikipedia
Term test — In mathematics, the nth term test for divergence[1] is a simple test for the divergence of an infinite series: If or if the limit does not exist, then diverges. Many authors do not name this test or give it a shorter name.[2] Cont … Wikipedia
Cauchy's test — may refer to:* Cauchy s root test * Cauchy s condensation test * the integral test for convergence, sometimes known as the Maclaurin Cauchy test These topics are named after Augustin Louis Cauchy, a French mathematician.disambig … Wikipedia
Convergence tests — In mathematics, convergence tests are methods of testing for the convergence, conditional convergence, absolute convergence, interval of convergence or divergence of an infinite series. Contents 1 List of tests 2 Comparison 3 Examples … Wikipedia
Convergence of Fourier series — In mathematics, the question of whether the Fourier series of a periodic function converges to the given function is researched by a field known as classical harmonic analysis, a branch of pure mathematics. Convergence is not necessarily a given… … Wikipedia
Absolute convergence — In mathematics, a series (or sometimes also an integral) of numbers is said to converge absolutely if the sum (or integral) of the absolute value of the summand or integrand is finite. More precisely, a real or complex series is said to converge… … Wikipedia
Cauchy condensation test — In mathematics, the Cauchy condensation test is a standard convergence test for infinite series. For a positive monotone decreasing sequence f ( n ), the sum :sum {n=1}^{infty}f(n) converges if and only if the sum :sum {n=0}^{infty} 2^{n}f(2^{n}) … Wikipedia
List of real analysis topics — This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods … Wikipedia
Uniform convergence — In the mathematical field of analysis, uniform convergence is a type of convergence stronger than pointwise convergence. A sequence {fn} of functions converges uniformly to a limiting function f if the speed of convergence of fn(x) to f(x) does… … Wikipedia
Radius of convergence — In mathematics, the radius of convergence of a power series is a quantity, either a non negative real number or ∞, that represents a domain (within the radius) in which the series will converge. Within the radius of convergence, a power series… … Wikipedia
Calculus — This article is about the branch of mathematics. For other uses, see Calculus (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus Derivative Change of variables … Wikipedia
