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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: [mg65385] Re: Generating a function from a series
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Wed, 29 Mar 2006 06:34:30 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

On 3/28/06 at 4:05 AM, spam at spam.invalid (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 ?

Use Normal, i.e.,

In[1]:=
sf = Series[f*x, {x, 0, 3}]; 
fs[y_] = sf /. x -> y

Out[2]=
SeriesData[y, 0, {f}, 1, 4, 1]

In[3]:=
Normal[%]

Out[3]=
f*y
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