The question suggests that I proceed by contradiction, and exploit the fact that $ |z| $ is nowhere differentiable (rather than using C-R equations).
I'm struggling to find a way to find a contradiction. Any help would be appreciated. Thanks
The question suggests that I proceed by contradiction, and exploit the fact that $ |z| $ is nowhere differentiable (rather than using C-R equations).
I'm struggling to find a way to find a contradiction. Any help would be appreciated. Thanks
Hint: Quotients, sums and products of holomorphic functions are holomorphic.