(a) (3 points) Suppose f is defined in an open interval containing c. Prove that if f is continuous at c and f(c) > 0, then there is a e > 0 such that f(x) > 0 for all TE (C - E, CTE ). (b) (3 points) Suppose f(x) is a continuous odd function defined on [-5, 5]. Prove that f(0) = 0