Difference between revisions of "TADM2E 2.19"

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<math>
+
<math>
({1}/{3})^n &lt;
+
({1}/{3})^n <
6 &lt;
+
6 <
\log \log n &lt;
+
\log \log n <
\log n = \ln n &lt;
+
\log n = \ln n <
(\log n)^2 &lt;
+
(\log n)^2 <
n^{\frac{1}{3}} + \log n &lt;
+
n^{\frac{1}{3}} + \log n <
\sqrt{n} &lt;
+
\sqrt{n} <
\frac{n}{\log n}&lt;
+
\frac{n}{\log n}<
n &lt;
+
n <
n \log n &lt;
+
n \log n <
n^2  = n^2 + \log n &lt;
+
n^2  = n^2 + \log n <
n^3 &lt;
+
n^3 <
n - n^3 + 7n^5 &lt;
+
n - n^3 + 7n^5 <
({3}/{2})^n = 2^n &lt;
+
({3}/{2})^n = 2^n <
 
n!
 
n!
&lt;/math&gt;
+
</math>

Revision as of 18:22, 11 September 2014

$ ({1}/{3})^n < 6 < \log \log n < \log n = \ln n < (\log n)^2 < n^{\frac{1}{3}} + \log n < \sqrt{n} < \frac{n}{\log n}< n < n \log n < n^2 = n^2 + \log n < n^3 < n - n^3 + 7n^5 < ({3}/{2})^n = 2^n < n! $