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5. Use the Central Limit Theorem to show the following (purely analytic) results: k (a) limn +co Zk-o kre = 1/2 (b) limn +co

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5. Use the Central Limit Theorem to show the following (purely analytic) results: k (a) limn +co Zk-o kre " = 1/2 (b) limn +co fo th-le-tdt/T(n) =1/2 (c) limn-+co 2k=0 ryntank emn = d(x) (d) limn -+ co fo rentnon-le tdt/T(n) = d(x)

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