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Notes calculus math, Lecture notes of Calculus for Engineers

Kirstiania University College (KUC)Calculus for Engineers

Calculus notes from calculus 1. Forelesningsnotater

Typology: Lecture notes

2019/2020

Uploaded on 04/23/2020

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MATHI111 Forelesningsnotater, 2018, Uke 38: Forelesning 1 https://nmbu.instructure.com/courses/3169/files Grenser: Del 2 Delkapitler 2.5, 2.6 Forelesningen gjennomgar: 1. Kontinuitet og skjzringssetningen. 2. Asymptoter. 3. Grenser nar a — co og a — —oo. 4. Uendelige grenser. Forelesningen bygger pa: 1. Grenser og ensidige grenser (uke 37, forelesning 2). 2. Egenskaper for grenser (uke 37, forelesning 2) 3. Stykkevis definerte funksjoner (uke 36). 4. Kvadratsetingene. 5. Asymptoter. 1. Kontinuitet og skjzringssetningen. 1. Definisjon (se Fig 1). Vi sier at f(e) er kontinuerlig for « = ¢ hvis lim f(x) = f(c). ae Merknader. = Fe), lim fl) = 70). 1. Kontinuitet i endepunktene defineres vha. ensidige grenser: lim, f(a asat 2, Funksjonen er kontinurlig pa et interyall J hvis den er kontinuerlig i alle punkter p& dette intervallet.