Counterexample

Is this true?

A function has a unique Laurent expansion about a point

No — it is false.

The counterexample

The object that kills this claim comes with Trap Analysis.

86 counterexamples are free — including most of the ones Part C leans on hardest.

Keep practicing

Standard counterexample

There is a canonical object that settles this. Recognising it is the whole question.

See real exam options built on this mistake Drill statements like this

complex laurent

Go deeper· Explained in full in Singularities — three types, three tests· Asked in CSIR NET December 2025· From Singularities and Residues › Laurent series, classification of singularities, Casorati–Weierstrass

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