4. Let E1, E2 be two compact subsets of R'. Use the Heine-Borel Theorem to prove that EUE2 is also a compact subset of RP. Give all details of your argument.
4. Let E1, E2 be two compact subsets of R'. Use the Heine-Borel Theorem to prove that EUE2 is also a compact subset of RP. Give all details of your argument.
4. Let E1, E2 be two compact subsets of R'. Use the Heine-Borel Theorem to prove that EUE2 is also a compact subset of RP. Give all details of your argument.
Transcribed Image Text:4.
Let E1, E2 be two compact subsets of RP. Use the Heine-Borel Theorem to prove that
E UE2 is also a compact subset of RP. Give all details of your argument.
5.
Prove that he interval E = (a, +oo) is an open set in R. (Show all details of your work).
Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.
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