(3+3+3 points) For each of the following statements, determine whether it is true or false, and justify your answer. Note: if a statement is proved or disproved explicitly in the lecture notes or E-book, it is sufficient to cite the corresponding text. (a) Given any three points on the xy-plane, there exists a parabola that passes through all of them. (b) A function f has at most one Taylor polynomial of degree n centered at a given To. (c) Given a differentiable function f with Taylor polynomials Pro, for any fixed x we have lim |f(x) - Pro(x) | = 0