You can sign in to vote the answer. How do you think about the answers? aus oder wählen Sie 'Einstellungen verwalten', um weitere Informationen zu erhalten und eine Auswahl zu treffen. Comedian, 64, recovering from stroke, family says. I need to show if ∑n-1/n^2 converges or diverges using either the root test, ratio test, or comparison test. For a better experience, please enable JavaScript in your browser before proceeding. How to count the hypervolumes of 4-cube, 5-cube and 6-cube . For your series, f(n) = n/(2 n), so what would be f(2 n)? Wir und unsere Partner nutzen Cookies und ähnliche Technik, um Daten auf Ihrem Gerät zu speichern und/oder darauf zuzugreifen, für folgende Zwecke: um personalisierte Werbung und Inhalte zu zeigen, zur Messung von Anzeigen und Inhalten, um mehr über die Zielgruppe zu erfahren sowie für die Entwicklung von Produkten. Sn = ∑1/n^2 = ∑ 1/n^p ; Now the series converges as p > 1 and diverges if p less than or equal to 1. by the comparison test -- lim(a of n/b of n), using your series over the divergent p series, 1/n as b of n, the resulting lim is 1, thus, a of n is divergent (even though the graph sure doesn't look like it diverges). Yahoo ist Teil von Verizon Media. if it did no longer attitude 0, there might continuously be some thing extra to it, and the sequence might continuously exchange. (n-1)/n^2 is (n/n^2)-(1/n^2) so you are subtracting a converging series from a diverging series so it diverges. if it does not, it diverges. Key takeaways from the DOJ review of Epstein deal, Kelly's 'inappropriate' remark to 'Voice' contestant, World finally discovers one thing 'the Rock' can't do, Struggling Ravens player: 'My family is off limits', McConaughey responds to Hudson's kissing insult, Graham denies pressuring Georgia official to toss ballots, Obama: Trump is no John Wayne — he's Richie Rich, DeVos 'made a mess' of student loan system: Union chief, 'Anti-Colin Kaepernick' candidate wins House race. If you meant this then the integral test shows divergence. it converges right here is how, any sequence, the cut back of the formulation as n procedures infinity could attitude 0 for the sequence to converge. Für nähere Informationen zur Nutzung Ihrer Daten lesen Sie bitte unsere Datenschutzerklärung und Cookie-Richtlinie. help! Dies geschieht in Ihren Datenschutzeinstellungen. Dazu gehört der Widerspruch gegen die Verarbeitung Ihrer Daten durch Partner für deren berechtigte Interessen. Biden could probably release Trump taxes, but will he? Could key gene system discovery be suffocating corals' last gasp? a converging series always adds to a finite number and subtracting a finite number from infinity still gives infinity, that's why it diverges when you subtract a converging series from a diverging series. Sie können Ihre Einstellungen jederzeit ändern. Help with trigonometry multiple choice question please? For your series, f(n) = n/(2, http://en.wikipedia.org/wiki/Cauchy_condensation_test. Ah, okay, I see it where I went wrong.. Get your answers by asking now. A box of tea contains two types of tea, A&B, in the ratio of 2:3. A test that would be simpler to apply would be the Limit Ratio Test. Damit Verizon Media und unsere Partner Ihre personenbezogenen Daten verarbeiten können, wählen Sie bitte 'Ich stimme zu.' If the box is 0.95 kg, how much of each type is used to make this mixture? Daten über Ihr Gerät und Ihre Internetverbindung, darunter Ihre IP-Adresse, Such- und Browsingaktivität bei Ihrer Nutzung der Websites und Apps von Verizon Media. i tried figuring out lim |a_n+1/a_n| and got that it = 1, so that neither the ratio nor the root test give us information regarding the convergence of ∑n-1/n^2 . Still have questions? In the line above, you aren't using the condensation test correctly. Join Yahoo Answers and get 100 points today. ∑ (n - 1)/n^2 = ∑ 1/n - ∑ 1/n^2 diverges because ∑ 1/n diverges. (n-1)/n^2 is (n/n^2)-(1/n^2) so you are subtracting a converging series from a diverging series so it diverges. so for you to locate the cut back as n procedures infinity for [2^(n)+a million]/[n2^(n)-a million], you plug infinity in for n. utilising the optimum coefficient attempt you get a million/infinity that's 0. which potential the infinitly final term will equivalent 0, and something plus 0 keeps to be the comparable, so the sequence wont exchange. Biochar from agricultural waste products can adsorb contaminants in wastewater, Making the best decision: Math shows diverse thinkers equal better results, Induction maths problem — Using mathematical induction, show that this inequality holds, Partial Differentiation -- If w=x+y and s=(x^3)+xy+(y^3), find w/s. JavaScript is disabled. In the first case p = 2 and in the second case p = 1 .