http://www.mapleprimes.com/questions/144079-How-Do-I-Find-The-Vertical-Asymptote-Of-Tanx en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 09 Jun 2026 09:31:24 GMT Tue, 09 Jun 2026 09:31:24 GMT The latest answers and comments added to the Question, How do I find the vertical asymptote of tan(x) when x=x/x+1? http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/144079-How-Do-I-Find-The-Vertical-Asymptote-Of-Tanx http://www.mapleprimes.com/questions/144079-How-Do-I-Find-The-Vertical-Asymptote-Of-Tanx?ref=Feed:MaplePrimes:How do I find the vertical asymptote of tan(x) when x=x/x+1?:Comments#answer144080 <p>Your question is unclear. Hope this example is useful:</p> <p>&gt;with(Student[Calculus1]):<br>&gt;Asymptotes(tan(x) + 2*x, x);</p> <p><span style="text-decoration: underline;">Warning, the expression has an infinite number of asymptotes, some examples of which are given</span><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p> <p><img src="data:image/png;base64,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" alt=""></p> <p>&nbsp;</p> <p><br><br><br></p> <p>Your question is unclear. Hope this example is useful:</p> <p>&gt;with(Student[Calculus1]):<br>&gt;Asymptotes(tan(x) + 2*x, x);</p> <p><span style="text-decoration: underline;">Warning, the expression has an infinite number of asymptotes, some examples of which are given</span><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p> <p><img src="data:image/png;base64,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" alt=""></p> <p>&nbsp;</p> <p><br><br><br></p> 144080 Sat, 02 Mar 2013 02:04:07 Z Markiyan Hirnyk Markiyan Hirnyk http://www.mapleprimes.com/questions/144079-How-Do-I-Find-The-Vertical-Asymptote-Of-Tanx?ref=Feed:MaplePrimes:How do I find the vertical asymptote of tan(x) when x=x/x+1?:Comments#comment144081 <p>&gt;Asymptotes(tan(x/(x+1)) , x);<br>&nbsp;<span style="text-decoration: underline;">Warning, the expression has an infinite number of asymptotes, some examples of which are given</span></p> <p><img src="data:image/png;base64,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" alt=""></p> <p>See <a href='http://www.maplesoft.com/support/help/search.aspx?term=Student/Calculus1/Asymptotes' target='_new'>?Student/Calculus1/Asymptotes</a> for more info.</p> <p>&gt;Asymptotes(tan(x/(x+1)) , x);<br>&nbsp;<span style="text-decoration: underline;">Warning, the expression has an infinite number of asymptotes, some examples of which are given</span></p> <p><img src="data:image/png;base64,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" alt=""></p> <p>See <a href='http://www.maplesoft.com/support/help/search.aspx?term=Student/Calculus1/Asymptotes' target='_new'>?Student/Calculus1/Asymptotes</a> for more info.</p> 144081 Sat, 02 Mar 2013 02:10:30 Z Markiyan Hirnyk Markiyan Hirnyk