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<div style="font:14px/1.5 'Lucida Grande', '微软雅黑';color:#333;">Thanks very much for the reply.!
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<div>And yes, it is not well-defined in mathematical sense to taylor expand x^(3/2) around x=0.</div>
<div>What I exactly want is to get the asyptotic behaviour of a function f(x) around x=0.</div>
<div>For example, f(x) = x^(3/2) (1 + x + x^2 + …), the asyptotic behaviour at leading order (LO)</div>
<div>and next-to-leading order (NLO) are x^(3/2) and x^(5/3), respectively.</div>
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<div>So I wonder there is a way to get the asyptotic behaviour of a function f(x), for example,</div>
<div>Input: x^(3/2) * (1+x+x^2+x^3), and request the terms at LO and NLO</div>
<div>Output: x^(3/2) + x^(5/3)</div>
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<div>Thanks again!</div>
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<div>Best regards!</div>
<div>Feng</div>
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