Peb kuj paub tias 1n diverges ntawm infinity, yog li kev txhaum(1n) yuav tsum tau diverge ntawm infinity.
Puas yog series kev txhaum converge?
Sine Function is Absolutely Convergent.
Puas yog koob hmoov 1 n 2 converge?
Since∑∞n=11n2 converges by the p-series test, Yog li ∑∞n=1|sin(1n2)| converges los ntawm kev siv qhov tsis sib xws uas tau hais los ntawm koj thiab qhov kev sim sib piv.
Is sin 1 n positive?
2 Teb. Cia ib=sin(1n) thiab bn=1n. Txawm li cas los xij, peb pom tias limn →∞anbn=1, uas yog qhov zoo, tus nqi txhais.
Puas yog kev txhaum 4 n converge?
Vim qhov muaj nuj nqi sinus nrog ntau [−1, 1], dua: sin4n≤1 thiab yog li: sin(4n)4n≤14n≤1n2 (rau n loj txaus) uas yog convergent series. Yog li peb series yog convergent rau lub hauv paus ntsiab lus ntawm kev sib piv.
