https://selfgravitatingfluids.education/JETohline/index.php?action=history&feed=atom&title=Appendix%2FRamblings%2FPowerSeriesExpressions Appendix/Ramblings/PowerSeriesExpressions - Revision history 2026-04-24T18:21:29Z Revision history for this page on the wiki MediaWiki 1.43.1 https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/PowerSeriesExpressions&diff=1580&oldid=prev Xxsrm: Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =Approximate Power-Series Expressions= ==Broadly Used Mathematical Expressions (shown here without proof)== ===Binomial=== <div align="center"> <table border="0" cellpadding="5" align="center"> <tr> <td align="right"> <math>~(1 \pm x)^n</math> </td> <td align="center"> <math>~=</math> </td> <td align="left"> <math>~ 1 ~\pm ~nx + \biggl[\frac{n(n-1)}{2!}\biggr]x^2 ~\pm~ \biggl[\frac{n(n-1)(n-2)}{3!}\biggr]x^3..." 2024-06-28T23:50:34Z <p>Created page with &quot;__FORCETOC__ &lt;!-- __NOTOC__ will force TOC off --&gt; =Approximate Power-Series Expressions= ==Broadly Used Mathematical Expressions (shown here without proof)== ===Binomial=== &lt;div align=&quot;center&quot;&gt; &lt;table border=&quot;0&quot; cellpadding=&quot;5&quot; align=&quot;center&quot;&gt; &lt;tr&gt; &lt;td align=&quot;right&quot;&gt; &lt;math&gt;~(1 \pm x)^n&lt;/math&gt; &lt;/td&gt; &lt;td align=&quot;center&quot;&gt; &lt;math&gt;~=&lt;/math&gt; &lt;/td&gt; &lt;td align=&quot;left&quot;&gt; &lt;math&gt;~ 1 ~\pm ~nx + \biggl[\frac{n(n-1)}{2!}\biggr]x^2 ~\pm~ \biggl[\frac{n(n-1)(n-2)}{3!}\biggr]x^3...&quot;</p> <a href="https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/PowerSeriesExpressions&amp;diff=1580">Show changes</a> Xxsrm