MHB Testing Uniform Convergence of Complex Function Sequences with Natural Numbers

[Poirot1]

How do I determine whether the following sequences of complex functions converge uniformly?

i) z/n

ii)1/nz

iii)nz^2/(z+3in)

where n is natural number

 

[tarantella]

You have to specify on which set you want uniform converge (except if you have to determine the domains of convergence). First, find the pointwise limits.