Question

s h) for all z c l e Sub-problem 3. Recall monotonicity of integration: If h() S [-1, 1], then This just says that integruls preserve inequalities 1. Explain why this is true graphically 2·Let g be continuous on [0,1]. Use the previous item, and the fact that to show that 3. Use the first two items to show that if g is bounded, say Ig(r)l s M for z [0, 1], then first two derivatives are continos on is a constant, which we 'll'call K, so that From sub-problem 3, we knouw there From item 1 ue know that TT Jo Use the previous sub-problem to show that 2K 5. Use the squeeze theorem to conclude thait linn an r=0

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