Anti-L’Hôpital Differentiable Functions

详细信息    查看全文

• 作者：Luis Bernal-González…
• 关键词：Differentiable function ; L’Hôpital’s rule ; \(\mathfrak {c}\) ; Generated free algebra
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：14
• 期：1
• 全文大小：<len>
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1660-5454
• 卷排序：14

文摘

Large algebraic structures are found inside the family of those real differentiable functions f on the real line having the property that, for a prescribed subset Z, the continuity of \(f'\) fails at the points of Z, so showing that, even in the easiest case, the L’Hôpital rule should be used carefully.