set, Mathematics

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Find lim sup, 1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd a...

1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even.  2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2.  3.let r>0 an

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what are these all about and could i have some examples of them please

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