Let f:C→C be holomorphic on C.
Also, suppose the following holds: ∣∣f(z)∣∣→+∞ as ∣z∣→+∞.
Then which of the following necessarily holds?
Details and Assumptions:
- Image(f) denotes the range of f.
- A∖B={x∈A:x∈/B}.
- If more than one statement is necessarily true, choose the strongest.