Consider the function f(x) = [(x{x} + 1, 0 ≤ x < 1), (2 - {x}, 1 ≤ x ≤ 2) where {x} denotes the fractional part function. Which one of the following statements is NOT correct?
(A) lim(x →1) f(x) exists
(B) f(0) ≠ f(2)
(C) f (x) is continuous in [0, 2]
(D) f(x) is differentiable in [0, 1)