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43.2.Consider the functions n-x , if 0 43.2 Consider the functions 2n n x, o, if O < x < 2 n Show that fn(x)

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43.2.Consider the functions n-x , if 0

43.2 Consider the functions 2n n x, o, if O < x < 2 n Show that fn(x) O as n for each x satisfying O s x 1, but fol fn (x) = Ifor all n. Mv'hy does this sequence not satisfy the hypotheses of the Lebesgue dominated convergence theorem?

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