6 Introductory Proofs with Continuity Challenge Points: +4 a. The function f is given by: 30 +1 if 0 2 Find a so that f is continuous. b. Assume the functions g, h satisfy g(x)' + h(x) = (xsing)', re R. Prove that: (a) g(0) = h(0) =0 (b) g, h are continuous at r = 0