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12. (30 points) Let f(x), F(x) and h(x) be defined as the following f(x) F(x) h(x) = 2 H e-(2/1), f(t)dt, f(x) 1 -

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12. (30 points) Let f(x), F(x) and h(x) be defined as the following f(x) F(x) h(x) = 2 H e-(2/1), f(t)dt, f(x) 1 - F(x) (a) (15 points) Find limo+ h(x). (b) (15 points) Find limoo h(x).

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