Which of the following complex functions is/are analytic on the complex plane?

Consider the complex function f(z)=cos z+e(z2). The coefficient of z5 in the Taylor series expansion of f(z) about the origin is _______. (rounded off to 1 deci...

Let (-1 - j), (3 - j), (3 + j) and (-1 + j) be the vertices of a rectangle C in the complex plane. Assuming that C is traversed in counter-clockwise direction,...