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Can I please have help proving this please?
Can I please have help proving this please?
(a) For any x ∈ R, there exists an n ∈ N such that n > x.
(b) Given any x, y ∈ R with x, y > 0, there exists an n ∈ N such that nx > y.
(c) Give any x ∈ R with x > 0, there exists an n ∈ N such that 1/n<x.