A simple closed path 𝐶 in the complex plane is shown in the figure. If ∮ {2^{z}}/{z^{2}−1}dz = −i\pi A where i = √-1 then the value of A is _______ (rounded off to two decimal places)

GATE Electronics and Communications (EC) 2022 Solved Paper

Question : 36 of 65

Marks: +1, -0

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

∮ \;{2^{z}}/{z^{2}−1}dz = −iπ A

where i = √-1 then the value of A is _______ (rounded off to two decimal places)

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