Asymptotic comparison criterion. Numerical series

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Salvo Romeo

Published on Sep 21, 2021
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Asymptotic comparison criterion for numerical series with positive terms. The comparison criterion (or Gauss criterion) seen in the previous lesson, can be particularized in other criteria that are much easier to use. One of these is the asymptotic comparison criterion that allows you to know the character of a series with positive terms, when the character of a series whose character is known is known (harmonic series, geometric series and generalized harmonic series). In particular, referring to the generalized harmonic series (also called Riemann series for the more curious) the asymptotic comparison criterion allows you to establish the character of a series in a very easy way. Without going into too much detail, I leave you to view this tutorial, which I recommend following step by step. Unlike other criteria (ratio and root), the asymptotic comparison criterion is the one that is proposed most frequently in mathematical analysis topics, so I recommend not neglecting it. Comparison method: • Numerical series: comparison criterion... #salvoromeo #numericalseries #asymptoticcomparison

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