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E10

[0FV]Mostrate che esiste il limite \(\lim _{j∈ J}f(j)=ℓ∈\overlineℝ\) se e solo se

\[ \limsup _{j∈ J}f(j)=\liminf _{j∈ J}f(j)=ℓ~ . \]

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