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Limit of a sequence • Understanding the definition with epsilon and quantifiers • ∀ ∃ preparatory classes MPSI PCSI higher L1
A real sequence (Un) is said to converge to the real number L if:
∀ε≻0 ∃n0 ∈ N, ∀n ∈ N, (n ≻ n0 ⇒ |Un-L|≺ε).