Exercise
https://texercises.com/exercise/taylorreihen-prufungsvorbereitung-15/
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Exercise:
Bestimme das Taylorpolynom T_x der Funktion fxmathrme^x an der Stelle x_.

Solution:
Entwicklungsstelle x_. pause fx mathrme^x pause quad Rightarrow quad a_ dfracf! pause dfracmathrme pause mathrme medskip pause f'x mathrme^x pause quad Rightarrow quad a_ dfracf'! pause dfracmathrme^pause mathrme medskip pause f''x mathrme^x pause quad Rightarrow quad a_ dfracf''! pause dfracmathrme^ medskip pause T_x mathrme + mathrme x- + dfracmathrme x-^
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\(\LaTeX\)-Code
Exercise:
Bestimme das Taylorpolynom T_x der Funktion fxmathrme^x an der Stelle x_.

Solution:
Entwicklungsstelle x_. pause fx mathrme^x pause quad Rightarrow quad a_ dfracf! pause dfracmathrme pause mathrme medskip pause f'x mathrme^x pause quad Rightarrow quad a_ dfracf'! pause dfracmathrme^pause mathrme medskip pause f''x mathrme^x pause quad Rightarrow quad a_ dfracf''! pause dfracmathrme^ medskip pause T_x mathrme + mathrme x- + dfracmathrme x-^
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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