Posted by: bibas100 December 11, 2006
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Hey guys,
Can you folks help me solve the following problems , if you may....Thanks in advance...
1.a function, f is defined on [a,b], and α>0, f is continuous at Xo E [a,b]. Prove f is α-continuous at Xo.
2. f is defined on [a,b], and α>0, Dα={x E[a,b] such that f is not α-continuous at X}
Prove Dα is compact.
I know these problems should not be that hard...but my brain is real dumb these days...