http://www.mapleprimes.com/questions/141357-Strange-Behaviour-Of-Series-Expansion en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Thu, 11 Jun 2026 07:32:20 GMT Thu, 11 Jun 2026 07:32:20 GMT The latest answers and comments added to the Question, Strange behaviour of series expansion, is this a bug? http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/141357-Strange-Behaviour-Of-Series-Expansion http://www.mapleprimes.com/questions/141357-Strange-Behaviour-Of-Series-Expansion?ref=Feed:MaplePrimes:Strange behaviour of series expansion, is this a bug?:Comments#answer141359 <pre><span class="GRcorrect">kernelopts</span><span class="GRcorrect">(</span>version);<br>&nbsp;&nbsp; Maple 16.02, X86 64 WINDOWS, Nov 18 2012, Build ID 788210<br><br><span class="GRcorrect">series</span><span class="GRcorrect">(</span>(1/epsilon-log<span class="GRcorrect">(</span>4))<span class="GRcorrect">,</span>epsilon=0);<br><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (-1)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span class="GRcorrect">epsilon</span>&nbsp;&nbsp;&nbsp;&nbsp; - 2 <span class="GRcorrect">ln</span><span class="GRcorrect">(</span>2)<br><br></pre> <pre><span class="GRcorrect">kernelopts</span><span class="GRcorrect">(</span>version);<br>&nbsp;&nbsp; Maple 16.02, X86 64 WINDOWS, Nov 18 2012, Build ID 788210<br><br><span class="GRcorrect">series</span><span class="GRcorrect">(</span>(1/epsilon-log<span class="GRcorrect">(</span>4))<span class="GRcorrect">,</span>epsilon=0);<br><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (-1)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span class="GRcorrect">epsilon</span>&nbsp;&nbsp;&nbsp;&nbsp; - 2 <span class="GRcorrect">ln</span><span class="GRcorrect">(</span>2)<br><br></pre> 141359 Tue, 11 Dec 2012 19:37:32 Z Adri van der Meer Adri van der Meer http://www.mapleprimes.com/questions/141357-Strange-Behaviour-Of-Series-Expansion?ref=Feed:MaplePrimes:Strange behaviour of series expansion, is this a bug?:Comments#answer141360 <p>seq(series((1/epsilon-log(i)),epsilon=0),i={3^2,3^3,3^4});</p> <p>&nbsp;<img src="data:image/png;base64,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" alt="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p> <p>&nbsp;</p> <pre><span class="GRcorrect">kernelopts</span><span class="GRcorrect">(</span>version);<br>Maple 16.02, IBM INTEL NT, Nov 18 2012, Build ID 788210</pre> <p>seq(series((1/epsilon-log(i)),epsilon=0),i={3^2,3^3,3^4});</p> <p>&nbsp;<img src="data:image/png;base64,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" alt="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p> <p>&nbsp;</p> <pre><span class="GRcorrect">kernelopts</span><span class="GRcorrect">(</span>version);<br>Maple 16.02, IBM INTEL NT, Nov 18 2012, Build ID 788210</pre> 141360 Tue, 11 Dec 2012 20:04:48 Z ThU ThU