Exercise
https://texercises.com/exercise/taylorreihen-prufungsvorbereitung-3/
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Exercise:
Bestimme das Taylorpolynom T_x der Funktion fxdfracx an der Stelle x_.

Solution:
Entwicklungsstelle: x_ pause fx dfracx x^- pause quadRightarrowquad a_ dfracf! pause dfrac^- pause dfrac pause medskip pause f'x -x^- pause quadRightarrowquad a_ dfracf'! pause dfrac-^- pause dfrac- pause - medskip pause f''x x^- pause quadRightarrowquad a_ dfracf''! pause dfrac ^- pause dfrac pause medskip pause edt T_x - x- + x-^ pause - x + + x^ -x + pause x^ - x + ed
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\(\LaTeX\)-Code
Exercise:
Bestimme das Taylorpolynom T_x der Funktion fxdfracx an der Stelle x_.

Solution:
Entwicklungsstelle: x_ pause fx dfracx x^- pause quadRightarrowquad a_ dfracf! pause dfrac^- pause dfrac pause medskip pause f'x -x^- pause quadRightarrowquad a_ dfracf'! pause dfrac-^- pause dfrac- pause - medskip pause f''x x^- pause quadRightarrowquad a_ dfracf''! pause dfrac ^- pause dfrac pause medskip pause edt T_x - x- + x-^ pause - x + + x^ -x + pause x^ - x + ed
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Attributes & Decorations
Tags
mathematik, taylorreihen
Content image
Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator wg
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Link