作者TaiwanBank (澳仔金控台灣分行)
看板Math
標題[分析] 初微(54)
時間Tue Aug 16 15:37:08 2005
Let f be continuous on an interval I. Show that f is not uniformly
continuous on I if and only if there exists a ε>0, and two sequences
{s_n}, {t_n} in I such that
lim (s_n - t_n) = 0 with |f(s_n)-f(t_n)|≧ε.
n→+∞
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