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Problem 18 (A problem with problem 18). By checking the inequality for $ n=1 $ one finds that $ = $ holds rather then $ \le $.

In fact, the inequality holds for $ n=2 $. In your assignment, you can either use $ \leq $ or prove that the $ \le $ holds for $ n\ge 2 $.



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Recent Math PhD now doing a post-doctorate at UC Riverside.

Kuei-Nuan Lin