I. The function $$f(x) = \frac{x^3 - 3*x + 2}{x - 1}$$ can be simplified by factoring out $$x-1$$, revealing a removable discontinuity at $$x=1$$.

II. After simplification, the derivative at $$x=2$$, computed as $$f'(2)$$, is $$5$$.

III. The function $$f(x)$$ is differentiable at $$x=1$$ because the discontinuity is removable.

Which of the above statements are true?