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1) Let f, g, and h be functions defined by f(x) = 1-cosx x2 , g(x) = x2 sin 4) and h(x) = sin(x) X

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1) Let f, g, and h be functions defined by f(x) = 1-cosx x2 , g(x) = x2 sin 4) and h(x) = sin(x) X for x # 0. All the following inequalities are true for x # 0. Which of the inequalities can be used with the squeeze theorem to find the limit of the function as x approaches 0? Justify your answer. (i) - (1 - x2) s f (x) ; (ii) -x's g(x) Sx2 .1 Sh(x) s

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