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Creating a function for Series expansion and unable of plotting series

Cornel B.
Posted 2 years ago
Attachments:
Untitled-3.nb
POSTED BY: Cornel B.
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Yes, sorry, I pasted the wrong code.
POSTED BY: Gianluca Gorni

You have to use Evaluate:

Plot[{Test[1], Test[2], Test[3], Test[4]}, {x, 0, 5}, 
 PlotLegends -> {Test[1], Test[2], Test[3], Test[4]}, 
 GridLines -> Automatic]

The problem is that Test[n_] is defined with a delayed definition Test[n_] := and the numerical values of x are replaced in Test[1] before its definition is applied. The expressions E_n were defined with immediate evaluation.

It is indeed rather subtle.
POSTED BY: Gianluca Gorni
Cornel B.
Cornel B.
Posted 2 years ago

Ok. Thank you. I think that's what you meant when you said to use Evaluate (in the code posted by you, Evaluate doesn't appear)

Test[n_] := Series[E^x, {x, 0, n}] // Normal
Plot[{Evaluate[Test[1]], Evaluate[Test[2]], Evaluate[Test[3]], 
  Evaluate[Test[4]]}, {x, 0, 5}, 
 PlotLegends -> {Test[1], Test[2], Test[3], Test[4]}, 
 GridLines -> Automatic]

enter image description here
POSTED BY: Cornel B.
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