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Proving inequalities

2?n+1?2?n < 1?n < 2?n?2?n?1

How to prove this inequality?

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Proving inequalities

2?n+1?2?n 2sqrt(n+1)-2sqrt(n) < 1?n 1/sqrt(n) < 2?n?2?n?1 2sqrt(n)-2sqrt(n-1)

How to prove this inequality?