Let z be a complex variable.If $f(z) = \frac{sin(πz)}{z^2 (z-2)}$ and C is the circle in the complex plane with |z| = 3 then ∫∫Cf(z) dz is

Which of the following statements involving contour integrals (evaluated counter-clockwise) on the unit circle C in the complex plane is/are TRUE?

A simple closed path C in the complex plane is shown in the figure. If∮C (2z)/(z2 − 1) dz = −iπA,where i = √−1, then the value of A is ______ (rounded off to tw...