Video: Dab tsi yog convergence integral?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Peb yuav hu cov no kev sib koom ua ke Yog tias qhov kev txwv cuam tshuam muaj nyob thiab yog tus lej finite (piv txwv li nws tsis ntxiv lossis rho tawm infinity) thiab sib txawv yog tias qhov kev txwv cuam tshuam tsis muaj nyob lossis yog (ntxiv lossis rho tawm) infinity. Yog ob leeg kev sib xyaw yog divergent ces yog li no ib qho.
Yog li ntawd, nws txhais li cas rau ib qho kev sib koom ua ke?
Txhais . sib hloov . Ib qho tsis tsim nyog ib qho yog hais rau sib hloov yog tias qhov txwv ntawm cov ib qho muaj nyob. sib txawv. Ib qho tsis tsim nyog ib qho yog hais kom diverge thaum txwv ntawm lub ib qho ua tsis tiav.
Ib yam li ntawd, ua li cas koj thiaj paub tias nws qhov kev sib tshuam lossis kev sib txawv? Yog hais tias r 1, ces lub series diverges. Yog hais tias r = 1, lub hauv paus kev xeem yog inconclusive, thiab series yuav converge los yog diverge . Qhov kev xeem piv thiab cov hauv paus kev xeem yog ob qho tib si raws li kev sib piv nrog cov kab geometric, thiab yog li lawv ua haujlwm zoo sib xws.
Qhov thib ob, dab tsi yog convergent thiab divergent integrals?
Divergent thiab convergent yog opposite. Convergent txhais tau hais tias qhov txwv los rau tus nqi finite, thaum sib txawv txhais tau hais tias qhov txwv tsis tuaj txog qhov kawg (lossis tsis yog sib hloov ). Piv txwv li, f(x) = e^x. - Raws li x mus txog ∞, f(x) mus txog ∞
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