Cov txheej txheem:

Yuav ua li cas koj thiaj paub yog nws finite los yog infinite?
Yuav ua li cas koj thiaj paub yog nws finite los yog infinite?

Video: Yuav ua li cas koj thiaj paub yog nws finite los yog infinite?

Video: Yuav ua li cas koj thiaj paub yog nws finite los yog infinite?
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Anonim

Cov ntsiab lus kom paub qhov teeb tsa li finite lossis infinite yog:

  1. Tsis kawg teeb yog qhov kawg ntawm qhov pib lossis xaus tab sis ob sab tuaj yeem muaj kev txuas ntxiv tsis zoo li hauv Finite teeb qhov twg ob qho tib si pib thiab xaus cov ntsiab lus nyob ntawd.
  2. Yog ib lub teeb muaj qhov txwv tsis pub muaj cov ntsiab lus ces nws yog infinite thiab yog cov ntsiab lus suav tau ces nws yog finite .

Nyob rau hauv no hais txog, koj yuav ua li cas txiav txim seb lub teeb yog finite los yog infinite?

Cov ntsiab lus los txiav txim qhov teeb meem raws li finite lossis infinite yog:

  1. Yog hais tias ib lub teeb muaj qhov pib thiab qhov kawg taw tes ob ces nws yog finite tab sis yog hais tias nws tsis muaj ib tug pib los yog kawg taw tes ces nws yog infinite teeb.
  2. Yog hais tias lub teeb muaj ib tug tsawg tus naj npawb ntawm cov ntsiab lus ces nws yog finite tab sis yog hais tias nws cov naj npawb ntawm cov ntsiab lus yog unlimited ces nws yog infinite.

Dab tsi yog qhov txawv ntawm finite thiab infinite series? A finite sequence muaj tus lej pib, a txawv los yog qhov tseem ceeb, thiab tag nrho cov ntsiab lus tas li. Tsis kawg sequences tsis muaj tus lej ntawm cov ntsiab lus, thiab lawv cov ntsiab lus tuaj yeem loj tuaj tsis kawg , txo qis rau xoom lossis mus ze rau tus nqi ruaj khov. Qhov sib thooj series tuaj yeem muaj tsis kawg , xoom los yog tas li.

Nyob rau hauv no hais txog, puas finite thiab infinite txhais tau tias tib yam?

Ntau precisely, A set X yog kawg yog tias muaj kev sib cav sib ceg ntawm cov teeb X thiab cov kawg tag nrho cov lej, N_n = {1, 2, 3,, n}. Yog tsis yog X kawg , tiam X tsis kawg (lawv txhais tau tias tib yam yam). Ib tsis kawg teeb yog txhais tau tias suav tau yog tias nws nyob hauv ib qho rau ib qho kev sib txuas nrog cov lej ntuj, N = {1, 2, 3,,, n, }.

Dab tsi yog qhov txawv ntawm finite thiab infinite pejxeem?

Tus naj npawb ntawm cov units nyob rau hauv ib tug finite pejxeem yog denoted los ntawm N. Yog li N yog qhov loj ntawm tus pej xeem . Qee zaum nws tsis tuaj yeem suav cov units uas muaj hauv cov pejxeem . Xws li ib pej xeem hu ua tsis kawg los yog suav tsis tau.

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