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GATE ECE 2022 | Question: 22

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A simple closed path $C$ in the complex plane is shown in the figure. If

$$\oint_{c} \frac{2^{z}}{z^{2} – 1}dz = – i \pi A,$$

where $i = \sqrt{-1},$ then the value of $A$ is _________ (rounded off to two decimal places).

 

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