Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Complex Variables Cauchy's Integral Theorem
Let \(f\left( z \right)\; = \;\frac{2z}{{z^{2}+\pi ^{2}}} \) if C is a counter clock wise path in the z plane such that |z - i| = 2, then the value of \(\frac{1}{2\pi i}\mathop \oint \limits_C f\left( z \right)dz \) is____
1
0
2
1
3
π/2
4
- π