Analogously, the limit inferior satisfies superadditivity: lim?inf n → ∞ ( a n + b n ) ≥ lim?inf n → ∞ a n +   lim?inf n → ∞ b n . then the inequalities over turn into equalities (with lim?sup n → ∞ a n displaystyle limsup _ nto infty a_ n Ta

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