Exercise 2.14. Find a number n E N, such that {m: m>n} c{m: m m +1...

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Exercise 2.14. Find a number n E N, such that {m: m>n} c{m: m m² +1 <0.0001}. The power set P(X) (also denoted as 2*) of a set X is the collection of all subsets of X. For example, the power set of {1,2,3} is P{1,2,3} = {0, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}}. The power set shows that sets themselves can become elements of some other set (which we usually call collection of sets). For example, the set {0, {1,2}, {1,3}, {2,3}} is the collection of subsets of {1,2,3} with even number of elements. Exercise 2.14. Find a number n E N, such that {m: m>n} c{m: m m² +1 <0.0001}. The power set P(X) (also denoted as 2*) of a set X is the collection of all subsets of X. For example, the power set of {1,2,3} is P{1,2,3} = {0, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}}. The power set shows that sets themselves can become elements of some other set (which we usually call collection of sets). For example, the set {0, {1,2}, {1,3}, {2,3}} is the collection of subsets of {1,2,3} with even number of elements.

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