Counterexample

Is this true?

Zeros of a non-constant analytic function can accumulate inside the domain

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

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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