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I. Differentiation – 1. Kontinuitet 22 1.20. Godt naboskab ☞ [S] 11.2 Limits and continuity Figur y 0 D (x,y) (a, b) x Kontinuitet f(x,y) f(a, b) 1.21. Helt præcist ☞ [S] Appendix D - Functions of two variables Definition Kontinuitet lim f(x,y) = f(a,b) (x,y)→(a,b)
I. Differentiation – 1. Kontinuitet 23 hvis der gælder ∀ǫ > 0 ∃δ > 0 : (x − a) 2 + (y − b) 2 < δ ⇒ |f(x,y) − f(a,b)| < ǫ 1.22. Test kontinuitet ☞ [S] 11.2 Limits and continuity Test Hvis f(x,y) er en kontinuert funktion defineret i hele R 2 , så er lim f(x,y) = f(0,0). (x,y)→(0,0) Løsning Dette er netop definitionen på kontinuitet i (0,0). Afkryds: ja nej 1.23. Regler om kontinuitet ☞ [S] 11.2 Limits and continuity Morale for kontinuitet (1) De fire regningsarter og sammensat funktion af kontinuerte funktioner danner igen kontinuerte funktioner. (2) De kendte elementære funktioner sin,cos,tan,arcsin,...,exp,log,...
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1. Grafiske/numeriske metoder IV Di
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V. Matricer - 4. Determinanter = (
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1. Egenvektorer VI Egenvektorer og
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Litteratur • Arnold, Ordinary dif
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0-række/søjle, 423 n-te afsnitssu
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Identitetsmatricen, 383 Identitetsm
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