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The value of the integral \int_{C}^{}{ \frac{z}{z-2} dz} , C: |z|=1 is

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The value of the integral $\int_{C}^{}{ \frac{z}{z-2} dz} , C: |z|=1$ \int_{C}^{}{ \frac{z}{z-2} dz} , C: |z|=1 is

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$2 \pi i$ 2 \pi i

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