If a function f is holomorphic (i.e., complex-differentiable) in the open unit disk D = {z ∈ C: |z| < 1} and satisfies the conditions:
(i) f(0) = 0
(ii) |f(z)| ≤ 1 for all z in D Then, for all z in D, it holds that:
1
|f(z)| ≤ |z|
2
\(|f(z)| \ge |z|\)
3
|f'(0)| ≤ 1
4
Both option (i) and (iii) are correct.