Mathematik-Online problems: Problem 118: Taylor Expansion

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	Mathematik-Online problems:
	Problem 118: Taylor Expansion

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Find the first four elements of the Taylor expansions of the following function, each about the point

a) $f(x) = \ln\,(1+\cosh x), \ \ x_0=0$ b) $f(x) = 2x^3+7x^2+5x+5, \ \ x_0=-1$

c) $f(x) = x\sqrt{x+1}, \ \ x_0=1$ d) $f(x) = \displaystyle \cos\left({\rm {e}}^{\,\sin x^2}-1\right), \ \ x_0=0$

(Author: Höfert)

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Keyword: Taylor expansion

automatisch erstellt am 29. 7. 2009

a) $f(x) = \ln\,(1+\cosh x), \ \ x_0=0$	b) $f(x) = 2x^3+7x^2+5x+5, \ \ x_0=-1$
c) $f(x) = x\sqrt{x+1}, \ \ x_0=1$	d) $f(x) = \displaystyle \cos\left({\rm {e}}^{\,\sin x^2}-1\right), \ \ x_0=0$