Exercise
https://texercises.com/exercise/taylorreihen-ubungen-3/
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Exercise:
Entwickle die Funktion fx sqrtx nach dem Satz von Taylor in eine Potenzreihe bis zur Potenz x^ an der Stelle x_.

Solution:
fx sqrtx; x_ edatt &f^x x^frac pause &quad &Rightarrow &quad f^ ex pause &f^x tfrac x^-frac pause &quad &Rightarrow &quad f^ tfrac ex pause &f^x -tfrac x^-frac pause &quad &Rightarrow &quad f^ -tfrac ex pause &f^x tfrac x^-frac pause &quad &Rightarrow &quad f^ tfrac ex pause &f^x -tfrac x^-frac pause &quad &Rightarrow &quad f^ -tfrac ex pause &f^x tfrac x^-frac pause &quad &Rightarrow &quad f^ tfrac edat
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\(\LaTeX\)-Code
Exercise:
Entwickle die Funktion fx sqrtx nach dem Satz von Taylor in eine Potenzreihe bis zur Potenz x^ an der Stelle x_.

Solution:
fx sqrtx; x_ edatt &f^x x^frac pause &quad &Rightarrow &quad f^ ex pause &f^x tfrac x^-frac pause &quad &Rightarrow &quad f^ tfrac ex pause &f^x -tfrac x^-frac pause &quad &Rightarrow &quad f^ -tfrac ex pause &f^x tfrac x^-frac pause &quad &Rightarrow &quad f^ tfrac ex pause &f^x -tfrac x^-frac pause &quad &Rightarrow &quad f^ -tfrac ex pause &f^x tfrac x^-frac pause &quad &Rightarrow &quad f^ tfrac edat
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Tags
mathematik, taylorreihen
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Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator wg
Decoration
File
Link