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Add notes concerning "Potenzreihen"

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Manuel Thalmann 2022-06-18 13:19:47 +02:00
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Notes/Semester 2/AN2 - Analysis 2/Zusammenfassung SEP.md
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@ -640,6 +640,10 @@ Unter _Taylor-Reihe_ versteht man ein unendliches Taylor-Polynom:
$$t_f(x) = \sum_{k = 0}^\infin{\frac{f^{(k)}(x_0)}{k!} \cdot (x - x_0)^k}$$ $$t_f(x) = \sum_{k = 0}^\infin{\frac{f^{(k)}(x_0)}{k!} \cdot (x - x_0)^k}$$
### Konvergenz
#### Potenzreihen
$$P(x) = \sum_{k = 0}^\infin{a_k \cdot (x - x_0)^k}$$
https://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/lorz/grundintegrale.pdf https://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/lorz/grundintegrale.pdf
[^Derivation]: [Ableitungen][Derivation] [^Derivation]: [Ableitungen][Derivation]