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Let (xk) ⊂ Rn and x ∈ Rn: Show that xk → x in Rn if and only if for every y ∈ Rn the
sequence (⟨xk; y⟩) ⊂ R converges to ⟨x; y⟩, that is, ⟨xk; y⟩ → ⟨x; y⟩ in R.
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