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MathGroup Archive 2006

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Re: Generating a function from a series

  • To: mathgroup at smc.vnet.net
  • Subject: [mg65381] Re: [mg65354] Generating a function from a series
  • From: Pratik Desai <pratikd at wolfram.com>
  • Date: Wed, 29 Mar 2006 06:34:21 -0500 (EST)
  • References: <200603280905.EAA26312@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Geico Caveman wrote:
> How does one generate a function from a series ?
>
> For example :
>
> sf=Series[f(x),{x,0,3}];
> fs[y_]=sf/.x->y
>
> Now this leaves that pesky O(()^4) term in the function definition,
> rendering the function useless for plots etc. How do I get rid of it ?
>   
One can use Normal
In[1]:=
Series[f[x],{x,0,3}]//Normal//InputForm



Out[1]//InputForm=
f[0] + x*Derivative[1][f][0] +
 (x^2*Derivative[2][f][0])/2 +
 (x^3*Derivative[3][f][0])/6

Hope this helps

Pratik Desai
Wolfram Research
Tech Support


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