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