Counterexample

Is this true?

$\oint_\gamma f = 0$ implies f is holomorphic inside $\gamma$

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

Execution slip

The idea was right. The computation was not.

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

complex residues

Go deeper· Explained in full in Residue theorem — the five standard patterns· Asked in CSIR NET December 2025· From Singularities and Residues › Residue theorem and standard contour integrals

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