Math  /  Calculus

Questionii) Discutere l'esistenza del limite per n+n \rightarrow+\infty della successione (an)n\left(a_{n}\right)_{n} definita per ricorrenza da {a0=12an+1=anan5,n0.\left\{\begin{array}{l} a_{0}=\frac{1}{2} \\ a_{n+1}=a_{n}-a_{n}^{5}, \quad n \geq 0 . \end{array}\right.
Se la successione (an)n\left(a_{n}\right)_{n} è regolare, determinare limn+an\lim _{n \rightarrow+\infty} a_{n}.

Studdy Solution
La successione ana_n ha un limite, e questo limite è **zero**! limnan=0 \lim_{n \to \infty} a_n = 0 .

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