# Question:coefficient of polynom

## Question:coefficient of polynom

> f:=(1./x)*ln((1.+x)/(1-x));
/1. + x\
1. ln|------|
\1 - x /
f := -------------
x

> L:=sum(p[i]*x^i,i=0..3);
2         3
L := p[0] + p[1] x + p[2] x  + p[3] x
> M:=1+sum(q[i]*x^i,i=1..2);
2
M := 1 + q[1] x + q[2] x
> T:=convert(taylor(f*M-L,x=0,3),polynom);
T := 2.000000000 - 1. p[0] + (2.000000000 q[1] - 1. p[1]) x
> T1:=convert(series(f*M-L,x=infinity,5),polynom);
3            2
T1 := -1. p[3] x  - 1. p[2] x  + (-1. p[1] + 3.141592654 I q[2]) x - 1. p[0]

3.141592654 I + 2. q[1]
+ 3.141592654 I q[1] + 2. q[2] + -----------------------
x

2. + 0.6666666667 q[2]   0.6666666667 q[1]
+ ---------------------- + -----------------
2                     3
x                     x
> eqs:={seq(coeftayl(T,x=0,j),j=0..3)}union{seq(coeff(T1,x=infinity,j),j=1..4)};
eqs := {0, 2.000000000 - 1. p[0], 2.000000000 q[1] - 1. p[1]}

here i want to collect all the coefficient of T and T it is good with T but I don't know what to do with T1

can you give me why?

thanks

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