Classify the following sets according to the properties open, closed, bounded, unbounded, compact. (a) S (za...

 

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Classify the following sets according to the properties open, closed, bounded, unbounded, compact. (a) S (za Re(z) b); (b) S (z | |= -1); (c) S = (10 2|z1|). 7. Given S +m 1,2,3,...; 1, 2, 3, 1,2,3..... m What is 5? Is S compact? Is 3 compact? What is the boundary of S? Classify the following sets according to the properties open, closed, bounded, unbounded, compact. (a) S (za Re(z) b); (b) S (z | |= -1); (c) S = (10 2|z1|). 7. Given S +m 1,2,3,...; 1, 2, 3, 1,2,3..... m What is 5? Is S compact? Is 3 compact? What is the boundary of S?