4. (a) Suppose that a function f satisfies |f (x)| < |x| for all x. Show that f is continuous at 0. (b) Suppose that a function g is continuous at 0 and satisfies g(0) = 0. Suppose furthermore that h is a function which satisfies |h(x)| < |g(x)| for all x. Show that h is continuous at 0. %3D

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