※ 引述《plover (>//////<)》之銘言:
: ※ 引述《icged ((“0”ㄟ ))》之銘言:
: : 1.f(x)=sin(1/x) , 在[a,1) (0<a<1)
: : 是否為nuiform continuous?
: Yes.
: : 2.f(x)=sin(1/x) , 在(0,1)
: : 是否為nuiform continuous?
: No.
lemma:
(H) f:continuous on (a , b) [a,b in R]
(C) f:uniform continuous on (a , b> <----> 1.f(x)-->A as x-->a+
2.f(x)-->B as x-->b_
[A,B in R]
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