Consider the function f : ℂ → ℂ given by f(z) = ez. Which of the following is false?
1
f({z ∈ ℂ : lzl < 1}) is not an open set.
2
f({z ∈ ℂ : lzl ≤ 1}) is not an open set.
3
f({z ∈ ℂ : lzl = 1}) is a closed set.
4
f({z ∈ ℂ : lzl > 1}) is an unbounded open set.
5
Question Not Attempted