Thanks very much for the reply.!
And yes, it is not well-defined in mathematical sense to taylor expand x^(3/2) around x=0.
What I exactly want is to get the asyptotic behaviour of a function f(x) around x=0.
For example, f(x) = x^(3/2) (1 + x + x^2 + …), the asyptotic behaviour at leading order (LO)
and next-to-leading order (NLO) are x^(3/2) and x^(5/3), respectively.
So I wonder there is a way to get the asyptotic behaviour of a function f(x), for example,
Input: x^(3/2) * (1+x+x^2+x^3), and request the terms at LO and NLO
Output: x^(3/2) + x^(5/3)
Thanks again!
Best regards!
Feng