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III. Potensrækker – 2. Talfølger og rækker 270 er begrænset og voksende an ≤ 6 an+1 = an 2 + 3 ≥ an 2.13. Rekursiv følge ☞ [S] 8.1 Sequences Eksempel 11 - fortsat Talfølgen a1 = 2, an+1 = 1 2 (an + 6) har en grænseværdi L som opfylder L = 1 (L + 6) 2 I alt lim n→∞ an = 6 2.14. Uendelig række ☞ [S] 8.2 Series 1 Definition Givet en talfølge {an}. Udtrykket a1 + · · · + an + ...
III. Potensrækker – 2. Talfølger og rækker 271 kaldes en uendelig række. Skrives også ∞ n=1 2.15. Harmonisk række ☞ [S] 8.2 Series Eksempel Talfølgen { 1 n } giver rækken 1 1 1 + + · · · + + ... 1 2 n Skrives også ∞ 1 n n=1 2.16. Harmonisk række ☞ [S] 8.2 Series Eksempel Talfølgen { 1 n 2 } giver rækken 1 1 + 1 4 an 1 + · · · + + ... n2
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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I. Differentiation - 1. Kontinuitet
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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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