Strange result from Mma Series [...]
- To: mathgroup at christensen.cybernetics.net
- Subject: [mg1622] Strange result from Mma Series [...]
- From: carlos at mars.Colorado.EDU (Carlos A. Felippa)
- Date: Thu, 6 Jul 1995 23:43:01 -0400
- Organization: University of Colorado, Boulder
I thought I understood Taylor series but ...
Produced by Mathematica 2.2 (Notebook interface) on a mac:
f=r*(16*(12*s + r^2*s^3))/(3*r*(4 + s^2)^2*(12 - r^2*s^2));
Print[Series[f,{r,0,1},{s,0,1}]];
Print[Series[f,{r,0,1},{s,0,2}]];
Print[Series[f,{r,0,2},{s,0,2}]];
s 2 2
- + O[s] + O[r]
3
3 5 7
s s s s 8 2
- - -- + -- - -- + O[s] + O[r]
3 6 16 48
s 3 3 2 3
- + O[s] + O[s] r + O[r]
3
If the 2nd result is right, can a mathematician please explain why?