Which of the following statement is false?
1
The function f(x) = sin2x is uniformly continuous on (0, ∞)
2
If f : (0, ∞) → \(\mathbb{R}\) is uniformly continuous, then \(lim_{ x \to 0} f(x) \) exists
3
If f : (0, ∞) → \(\mathbb{R}\) is uniformly continuous, then \(lim_{ x \to \infty} f(x) \) exists
4
The function \(f(x) = e^{sin^2x}\) is uniformly continuous on (0, ∞)