complex analysis

If C is the unit circle in the complex plane with its center at the origin, then the value of n in the equation given below is ________ (rounded off to 1 decimal place). $\oint_C \...

The value of k that makes the complex-valued function f(z) = e⁻ᵏˣ (cos 2y – i sin 2y) analytic, where z = x + iy, is __________. (Answer in integer)

Let z be a complex variable. For a counter-clockwise integration around a unit circle C, centred at origin, $\oint_C \frac{1}{5z-4} dz = A\pi i$, the value of A is