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https://texercises.com/exercise/taylorreihen-prufungsvorbereitung-16/
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Exercise:
Bestimme die Taylorreihe der Funktion fx cosx an der Stelle an der Stelle x_pi bis zum Grad .

Solution:
f^x cosx quadRightarrowquad f^pi cospi - pause f^x -sinx quadRightarrowquad f^pi -sinpi medskippause f^x -cosx quadRightarrowquad f^pi -cospi medskippause f^x sinx quadRightarrowquad f^pi sinpi medskippause f^x cosx quadRightarrowquad f^pi cospi - medskippause displaystyle cosx approx - + dfrac! x-pi^ - dfrac! x-pi^
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Exercise:
Bestimme die Taylorreihe der Funktion fx cosx an der Stelle an der Stelle x_pi bis zum Grad .

Solution:
f^x cosx quadRightarrowquad f^pi cospi - pause f^x -sinx quadRightarrowquad f^pi -sinpi medskippause f^x -cosx quadRightarrowquad f^pi -cospi medskippause f^x sinx quadRightarrowquad f^pi sinpi medskippause f^x cosx quadRightarrowquad f^pi cospi - medskippause displaystyle cosx approx - + dfrac! x-pi^ - dfrac! x-pi^
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mathematik, taylorreihen
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(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator wg
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