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Generating a function from a series

• To: mathgroup at smc.vnet.net
• Subject: [mg65354] Generating a function from a series
• From: Geico Caveman <spam at spam.invalid>
• Date: Tue, 28 Mar 2006 04:05:19 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

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 ?

• Follow-Ups:
  • Re: Generating a function from a series
    • From: Murray Eisenberg <murray@math.umass.edu>
  • Re: Generating a function from a series
    • From: Pratik Desai <pratikd@wolfram.com>
  • Re: Generating a function from a series
    • From: Adriano Pascoletti <pascolet@dimi.uniud.it>