Forum Studenti •convergenza serie a segni alterni senza Leibniz

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Forum Studenti •convergenza serie a segni alterni senza Leibniz

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convergenza serie a segni alterni senza Leibniz

Inviato: giovedì 12 gennaio 2017, 19:38

da ss420

Data la serie

con , determinare se converge.
Essendo una serie a segni alterni posso applicare il criterio di Leibniz, quindi dimostrare che è non crescente.
Se io prendessi la serie dei valori assoluti

so che converge perché il termine generale è asintotico a .
Posso dedurre che converge anche la serie di partenza, senza sfruttare il criterio di Leibniz?

Re: convergenza serie a segni alterni senza Leibniz

Inviato: venerdì 13 gennaio 2017, 22:55

da GIMUSI