Indeterminate form: Difference between revisions

Revision as of 12:54, 1 November 2024

Revision as of 13:00, 1 November 2024

Line 19:

* <math> \sqrt[\infty]{0} </math>

* <math> \sqrt[\infty]{\infty} </math>

* {{<math|log<sub> \log_{0}(0) </submath>(0)}}

* {{<math|log<sub> \log_{1}(1) </submath>(1)}}

* <math> \log_{\infty}(\infty) </math>

* {{math|log_∞(∞)}}

where each expression stands for the limit of a function constructed by an arithmetical combination of two functions whose limits respectively tend to {{tmath|0,}} {{tmath|1,}} or {{tmath|\infty}} as indicated.{{sfnp|Varberg|Purcell|Rigdon|2007|p=423, 429, 430, 431, 432}}