Question: Please solve this.... 3. (a) Prove that (0, 1] = () (0, 1 + 1). DO n=1 (b) Exhibit an open cover of each of

Please solve this....

3. (a) Prove that (0, 1] = () (0, 1 + 1). DO n=1 (b) Exhibit an open cover of each of the sets { - : n E N} and N. (c) Prove that the intersection of an arbitrary collection of compact sets in R is compact

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