Discussion
The residue theorem gives \( \displaystyle\oint_{C} f\,dz \) as
Answer: B
The theorem reads
\[ \oint_{C} f(z)\,dz \;=\; 2\pi i \sum_{k} \mathrm{Res}_{z=z_{k}} f, \]
summed over the singularities inside \( C \). Cauchy's theorem is the special case of no enclosed singularity, and the factor of \( i \) traces back to \( \oint dz/z = 2\pi i \) round a single simple pole
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