Non-removable Discontinuity: Non-removable discontinuity is the hom discontinuity uas qhov kev txwv ntawm kev ua haujlwm tsis muaj nyob rau ntawm ib qho chaw tshwj xeeb xws li lim xa f(x) tsis muaj.
Koj paub li cas yog tias qhov kev tsis sib txuas tsis raug tshem tawm?
[Calculus 1] Dab tsi yog qhov sib txawv ntawm qhov kev tshem tawm thiab tsis tshem tawm tsis tu ncua? … Yog tsis muaj qhov txwv, ces qhov kev txiav txim tsis raug tshem tawm. Hauv qhov tseem ceeb, yog tias kho qhov kev ua haujlwm tus nqi nkaus xwb ntawm qhov tsis sib xws yuav ua rau muaj nuj nqi tas mus li, ces qhov tsis sib xws yog tshem tau.
piv txwv ntawm kev tshem tawm tsis tau yog dab tsi?
Vim tias x + 1 tshem tawm, koj muaj qhov tshem tawm tsis tu ncua ntawm x=-1 (koj yuav pom lub qhov hauv daim duab muaj, tsis yog asymptote). Tab sis tus x – 6 tsis tau tso tseg nyob rau hauv tus denominator, yog li koj muaj ib tug nonremovable discontinuity ntawm x=6. Qhov no discontinuity tsim ib tug ntsug asymptote nyob rau hauv daim duab ntawm x=6.
Kev tshem tawm tsis tu ncua txhais li cas?
Kev tshem tawm tsis tu ncua yog qhov taw qhia ntawm daim duab uas tsis tau txhais lossis tsis haum rau qhov seem ntawm daim duab. Muaj ob txoj hauv kev uas tshem tau qhov tsis sib xws yog tsim. Ib txoj hauv kev yog los ntawm txhais lub blip hauv txoj haujlwmthiab lwm txoj hauv kev yog los ntawm txoj haujlwm uas muaj qhov sib xws ntawm tus lej thiab tus lej.
YDab tsi yog tshem tawm thiab tsis tshem tawm tsis tu ncua?
Kev piav qhia: Geometrically, kev tshem tawm tsis tu ncua yog lub qhov nyob hauv daim duab f. Ib qho kev tshem tsis tau tshem tawm yog lwm yam kev tsis sib xws. (Feem ntau dhia lossis tsis muaj qhov kawg.)
