Topology 1. Let X be the set of real numbers with the usual pseudometric. Find thederived set and the closure of each of the following sets:(a) A = {1/n: n = 1,2,3,...);(b) BZ, the integers;(c) C = Q, the rational numbers.

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Answered: 1. Let X be the set of real numbers…

Advanced Engineering Mathematics

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Chapter2: Second-order Linear Odes

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1. Let X be the set of real numbers with the usual pseudometric. Find the derived set and the closure of each of the following sets: (a) A = {1/n: n = 1,2,3,...); (b) B= Z, the integers; (c) C= Q, the rational numbers.