[分析] 高微一題關於lim sup的問題

[anikishawn (哲平)]

For two sequences {a_n} and {b_n},prove that


(a) lim sup (a_n+b_n)≦lim sup (a_n) + lim sup (b_n)
      n→∞              n→∞           n→∞


(b) if in additional {b_n} converges,
    lim sup (a_n+b_n)＝lim sup (a_n) + lim sup (b_n)
      n→∞              n→∞           n→∞


請高手給點方向提示XD

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→ anikishawn  :謝謝,(a)的部分我解決了