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GATE EC 2016 Set 3 — Question 39

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MCQ+2 / -0.67MediumCauchy's Integral FormulaComplex AnalysisEngineering Mathematics

Engineering Mathematics → Complex Analysis → Cauchy's Integral Formula

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Question

The values of the integral 12πj∮cezz−2dz\frac{1}{2\pi j} \oint_c \frac{e^z}{z - 2} dz along a closed contour cc in anti-clockwise direction for
(i) the point z0=2z_0 = 2 inside the contour cc, and
(ii) the point z0=2z_0 = 2 outside the contour cc,
respectively, are
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