Video: Dab tsi ntawm kev tsis sib haum xeeb yog asymptote?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Qhov txawv ntawm ib tug "tshem tawm kev tsis sib haum xeeb "thiab ib" ntsug asymptote "yog tias peb muaj R. kev tsis sib haum xeeb Yog hais tias lub sij hawm uas ua rau tus denominator ntawm ib tug rational muaj nuj nqi sib npaug zos rau x = a rho tawm nyob rau hauv lub assumption tias x tsis sib npaug rau a. Tsis tas li ntawd, yog tias peb tsis tuaj yeem "tso tseg" nws tawm, nws yog qhov ntsug asymptote.
Yog li ntawd, dab tsi yog qhov kev tsis sib haum xeeb uas tsis raug tshem tawm?
Daim duab ntawm qhov tshem tau kev tsis sib haum xeeb cia koj xav tias khoob, whereas ib daim duab ntawm a unremovable discontinuity cia koj dhia dhia. Yog hais tias ib lub sij hawm tsis thim, lub kev tsis sib haum xeeb ntawm no x tus nqi sib raug rau lub sij hawm no uas tus denominator yog xoom tshem tsis tau , thiab daim duab muaj ntsug asymptote.
peb hom kev tsis sib xws yog dab tsi?
- Discontinuities tuaj yeem faib ua dhia, tsis kawg, tshem tau, qhov kawg, lossis sib xyaw.
- Kev tshem tawm tsis tu ncua yog tus cwj pwm los ntawm qhov tseeb tias qhov txwv muaj.
- Kev tshem tawm tsis tu ncua tuaj yeem "kho" los ntawm kev rov txhais cov haujlwm.
Piv txwv li, dab tsi yog qhov tsis sib xws hauv kev suav lej?
Cov ntsiab lus ntawm Kev tsis sib haum xeeb Lub ntsiab txhais ntawm kev tsis sib haum xeeb yog qhov yooj yim heev. Ib txoj haujlwm yog tsis tu ncua ntawm tus taw tes x = a yog tias qhov kev ua haujlwm tsis tas li ntawm a. Qhov txwv yuav tsum pom zoo nrog tus nqi ua haujlwm. Yog li, tus lej L uas koj tau txais los ntawm kev siv qhov txwv yuav tsum yog tus nqi tib yam li f(a).
Dab tsi yog qhov txawv ntawm qhov kev tshem tawm thiab tsis tshem tawm tsis tau?
Geometrically, a tshem tau discontinuity yog lub qhov hauv ua graph f. A tsis tshem tawm discontinuity yog lwm yam kev tsis sib haum xeeb . (Ntau zaus dhia lossis tsis kawg kev tsis sib haum xeeb .) ("Infinite limits" yog "limits" uas tsis muaj.)
Pom zoo:
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