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QUESTION

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.

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