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based on an earlier version of the Wolfram Language.
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ComposeSeries

ComposeSeries
composes several power series.
  • ComposeSeries effectively replaces the variable in by and so on.
  • Two series can only meaningfully be composed when the point about which the first series is expanded corresponds to the limiting value of the second series at its expansion point.
Compose two power series:
Compose two power series:
In[1]:=
Click for copyable input
Out[1]=
 
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
The limiting value of the second series must coincide with the expansion point of the first series:
New in 3