推 PttFund:Yes you are right :)140.112.218.142 08/07
※ 引述《TaiwanBank (澳仔金控台灣分行)》之銘言：
: If two sequences {a_n} and {b_n} are bounded below in R, we have
: lim sup (a_n+b_n) ≦ lim sup a_n + lim sup b_n.
: n→∞ n→∞ n→∞
: Given a example such that ≦ can be ＜.
a_n = 1,-1,1,-1,.....
b_n = -1,1,-1,1,....
a_n+b_n= 0,0,0,0,.....
lim sup (a_n+b_n)=0
lim sup a_n + lim sup b_n=2
這個例子應該可以
有錯請指證 謝謝
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