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It is a question from Yahoo, can you look at my answer
The question is
is the set [tex] \{\frac{1}{2} , \frac{2}{3} , \frac{3}{4} , ... \} \cup [ 1, 25] [/tex] compact ?
I took an arbitrary open cover and I proved it has a finite subcover, I used the information that closed and bounded is compact.
Here
The question is
is the set [tex] \{\frac{1}{2} , \frac{2}{3} , \frac{3}{4} , ... \} \cup [ 1, 25] [/tex] compact ?
I took an arbitrary open cover and I proved it has a finite subcover, I used the information that closed and bounded is compact.
Here