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https://texercises.com/exercise/taylorreihen-ubungen-2/
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Exercise:
Entwickle die Funktion fx sqrtx in eine Taylorreihe an der Stelle x_. mindestens Glieder

Solution:
Entwicklungsstelle: x_ edatt f^x sqrtx x^frac &quad &Rightarrow &quad f^ ex %%% f^x tfracx^-frac &quad &Rightarrow &quad f^ tfrac ex %%% f^x -tfracx^-frac &quad &Rightarrow &quad f^ -tfrac ex %%% f^x tfracx^-frac &quad &Rightarrow &quad f^ tfrac ex %%% f^x -tfracx^-frac &quad &Rightarrow &quad f^ -tfrac ex edat medskip edt fx dfrac! + dfrac ! x- - dfrac ! x-^ + dfrac ! x-^ - dfrac ! x-^ + dots ex fx + dfrac x- - dfrac x-^ + dfrac x-^ - dfrac x-^ + dots %+ dfrac x-^ %- s ed
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\(\LaTeX\)-Code
Exercise:
Entwickle die Funktion fx sqrtx in eine Taylorreihe an der Stelle x_. mindestens Glieder

Solution:
Entwicklungsstelle: x_ edatt f^x sqrtx x^frac &quad &Rightarrow &quad f^ ex %%% f^x tfracx^-frac &quad &Rightarrow &quad f^ tfrac ex %%% f^x -tfracx^-frac &quad &Rightarrow &quad f^ -tfrac ex %%% f^x tfracx^-frac &quad &Rightarrow &quad f^ tfrac ex %%% f^x -tfracx^-frac &quad &Rightarrow &quad f^ -tfrac ex edat medskip edt fx dfrac! + dfrac ! x- - dfrac ! x-^ + dfrac ! x-^ - dfrac ! x-^ + dots ex fx + dfrac x- - dfrac x-^ + dfrac x-^ - dfrac x-^ + dots %+ dfrac x-^ %- s ed
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mathematik, taylorreihen
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(1, default)
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1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator wg
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