44. The function f(x) defined as f(x) = ( x 2 sin( 1 x ) if x 6= 0 0 if x = 0 (shown at the top of the next page) is continuous at 0 because we can show (using the Squeezing Theorem) that lim h0 f(x) = 0 = f(0) Is f differentiable at 0? To answer this question, use the definition of f 0 (0) and consider lim h0 f(0 + h) f(0) h