have asked this q to many people and noone is able to help would be much appreciated if anyone could solve this.

thanx loadz edgar

(a) Verify that Im(z) and z do not satisfy the Cauchy-Riemann equations

at any point (so neither function is differentiable anywhere).

(b) Consider the function f(x+iy) = p|xy|, where x, y ∈ R. Show that

f satisfies the Cauchy-Riemann equations at the origin, yet f is not

holomorphic at 0.