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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 than <math>{} >{} </math>. <br><br> In fact, the | one finds that <math>{}={}</math> holds rather than <math>{} >{} </math>. <br><br> In fact, the | ||
| − | inequality holds for <math>n=2</math>. In your assignment, you can either | + | inequality holds for <math>n=2</math>. In your assignment, you can either replace ">" with "<math>\ge</math>" or prove that the inequality <math> > </math> holds for <math>n\ge 2</math>. |
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Latest revision as of 15:25, 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 $ {} >{} $.
In fact, the
inequality holds for $ n=2 $. In your assignment, you can either replace ">" with "$ \ge $" or prove that the inequality $ > $ holds for $ n\ge 2 $.
