Video: Yuav ua li cas koj paub yog hais tias lub hwj chim series converges?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Cov txiaj ntsig ntawm geometric series ua yeeb yam uas ob lub ntsiab lus yog sib npaug. Ob qho kev qhia tsis sib npaug; qhov tseeb, cov series ntawm txoj cai diverges, los ntawm Zero Limit Test. Koj tuaj yeem siv qhov Kev Ntsuas Ntsuas (thiab qee zaum, Kev Xeem Hauv paus) rau txiav txim cov nqi uas a lub zog series converges.
Ua raws li qhov kev pom no, koj ua li cas ntsuas lub hwj chim rau kev sib koom ua ke?
Txoj kev los txiav txim kev sib koom ua ke ntawm cov ntsiab lus no tsuas yog ntsaws rau hauv qhov qub lub zog series thiab saib seb cov series converges los yog diverges siv ib yam xeem tsim nyog. Qhov no series yog divergent los ntawm Divergence Kuaj vim limn →∞n=∞≠0 lim n → ∞ ? n = ∞ ≠ 0.
Ib sab saum toj no, puas yog 1 N convergent lossis divergent? = 1 ib sib hloov los yog sib txawv. = 1 ib converge. = 1 ib sib txawv.
Kuj Paub, lub caij nyoog ntawm convergence ntawm lub hwj chim series yog dab tsi?
Piv txwv ua haujlwm: interval ntawm convergence . Cov interval ntawm converges ntawm lub hwj chim series yog cov lub sijhawm ntawm input qhov tseem ceeb uas cov series converges.
Nws txhais li cas thaum ib tug series converges?
A series uas sib hloov muaj qhov txwv tsis pub dhau, uas yog tus lej uas tau mus txog. A series uas diverg txhais tau tias ob qho tib si cov nyiaj ib nrab tsis muaj kev txwv lossis mus txog qhov kawg. Qhov sib txawv yog qhov loj ntawm qhov sib piv. Yog |r| <1, tom qab ntawd series yuav sib hloov.
Pom zoo:
Yuav ua li cas tshwm sim thaum koj pom lub hwj chim ntawm ib tug quotient?
Lub Hwj Chim ntawm Txoj Cai Quotient hais tias lub hwj chim ntawm ib qho quotient yog sib npaug rau cov quotient tau thaum tus lej thiab tus lej yog txhua tus nce mus rau lub zog qhia cais, ua ntej kev faib ua tiav
Yuav ua li cas koj daws cov hauv paus plaub hau nrog lub hwj chim?
VIDEO Ib yam li ntawd, puas exponents tshem tawm cov hauv paus square? Qhov ntawd txhais tau tias yog tias koj muaj qhov sib npaug nrog cov hauv paus plaub hau hauv nws, koj tuaj yeem siv qhov "squaring", lossis exponents , tshem tawm cov hauv paus plaub hau .
Yuav ua li cas koj xam mus rau plaub lub hwj chim?
Hauv kev suav lej thiab lej, plaub lub zog ntawm tus lej n yog qhov tshwm sim ntawm kev muab plaub qhov piv txwv ntawm n ua ke.So: n4 = n × n × n × n. Fourthpowers kuj yog tsim los ntawm kev sib npaug ntawm tus lej los ntawm nws covcube
Yuav ua li cas koj qhia yog hais tias muaj nuj nqi converges los yog diverges?
Yog hais tias koj tau txais ib tug series uas me dua ib tug convergent benchmark series, ces koj series yuav tsum converge. Yog hais tias lub benchmark converges, koj series converges; thiab yog hais tias tus benchmark diverges, koj series diverges. Thiab yog tias koj cov koob muaj ntau dua li qhov sib txawv ntawm qhov sib txawv, ces koj cov koob yuav tsum sib txawv
Yuav ua li cas koj paub yog hais tias tus sau yog discrete los yog tas mus li?
Ib tug discrete domain yog ib txheej ntawm input qhov tseem ceeb uas muaj tsuas yog qee tus lej hauv ib ntus. Ib qho txuas txuas ntxiv yog ib txheej ntawm cov txiaj ntsig input uas muaj txhua tus lej hauv ib ntus. Qee lub sij hawm cov ntsiab lus uas sawv cev rau cov kev daws teeb meem ntawm ib qho kev sib npaug yog qhov txawv, thiab lwm lub sij hawm cov ntsiab lus txuas nrog