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- University
- Politecnico di Milano
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- Mathematical Engineering
- Subject
- ProbabilitÃ
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- Exercises · By topic
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ExercisesBy topic
Esercizi propedeutici alla prima lezione
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ProbabilitÃBy topic
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Probabilit`a 2019/2020 - Esercizi su liminf e limsup di una successione numerica Data una successione numerica ( xn)n∈N, poniamo lim inf n→∞ xn = sup n inf k≥n xk = lim n→∞ inf k≥n xk, lim sup n→∞ xn = inf n sup k≥n xk = lim n→∞ sup k≥n xk. Calcolare lim inf n→∞ xn e lim sup n→∞ xn e, qualora esista, lim n→∞ xn per 1. xn = n n + 1 , 2. xn = { −n, n dispari, 1 n + 1 , n pari, 3. xn = (−1)n, 4. xn = (−n)n, 5. xn = ( − 1 n )n , 6. xn = { 1, n primo , 0, altrimenti, 7. xn = 1000∧ n = min { 1000, n } , 8. xn = 1000∨ n = max { 1000, n } .
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