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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 $ x_0$ .


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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  automatisch erstellt am 29.  7. 2009