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看板Math作者 (澳仔金控台灣分行)時間20年前 (2005/08/16 15:35), 編輯推噓0(000)
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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→+∞ -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.112.218.142
文章代碼(AID): #130PStHm (Math)