Question: a. The function f is given by: 3a + 1 if 0 2 Find a so that f is continuous. b. Assume the functions g,

a. The function f is given by: 3a + 1 if 0 2 Find a so that f is continuous. b. Assume the functions g, h satisfy g(x)2 + h(x)2 = (x sin x)2, x E R. Prove that: (a) g(0) = h(0) = 0 (b) g, h are continuous at x = 0

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