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MathGroup Archive 2005

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Why are the functions different?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg55609] Why are the functions different?
  • From: Helge Stenstroem <helge.stenstrom.NOSPAM at NOSPAMericsson.com>
  • Date: Thu, 31 Mar 2005 01:24:00 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

How are these two functions (f0 and f1) different? f0 can be plotted,
but f1 cannot.

f1[x_] := Normal[Series[Tanh[x], {x, 0, 5}]]
f0[x_] := x - x^3/3 + (2*x^5)/15

When evaluated like this:
 f0[x]
 f1[x]
they look the same.

The following gives error messages if f0 is replaced by f1.
 Plot[{Tanh[z], f0[z]}, {z, -1, 1}]

(Mathematica 4.1 on Windows 2000)
-- 
Helge Stenström


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