engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Complex Variables

The value of the integral \(\mathop \smallint \limits_{\left| z \right| = 1}^{} \frac{{\cos z\;dz}}{{z\left( {z - 2} \right)\left( {z - 4} \right)}}\) is

1
\(\frac{{\pi i}}{4}\)
2
\(\frac{{\pi i}}{2}\)
3
πi
4
2πi
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