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'''Problem 18''' (A problem with problem 18). By checking the inequality for <math>n=1</math> | '''Problem 18''' (A problem with problem 18). By checking the inequality for <math>n=1</math> | ||
| − | one finds that <math>=</math> holds rather | + | one finds that <math>=</math> holds rather than <math> \gt </math>. <br><br> In fact, the |
inequality holds for <math>n=2</math>. In your assignment, you can either use <math>\ge</math> or prove that the <math> > </math> holds for <math>n\ge 2</math>. | inequality holds for <math>n=2</math>. In your assignment, you can either use <math>\ge</math> or prove that the <math> > </math> holds for <math>n\ge 2</math>. | ||
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Revision as of 15:18, 18 January 2010
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Problem 18 (A problem with problem 18). By checking the inequality for $ n=1 $
one finds that $ = $ holds rather than $ \gt $.
In fact, the
inequality holds for $ n=2 $. In your assignment, you can either use $ \ge $ or prove that the $ > $ holds for $ n\ge 2 $.
