I am not sure how can I cite or prove that there is confusion as its not something researchers would make a study on so I attached a reference with a bunch of people asking why this equation and many others like it are indeterminate forms and I hope that is enough to "prove" that there is very real confusion
{{Short description|Expression in mathematical analysis}}
'''Indeterminate form''' is a mathematical expression that can obtain any value depending on circumstances. In [[calculus]], it is usually possible to compute the [[limit (mathematics)|limit]] of the sum, difference, product, quotient or power of two functions by taking the corresponding combination of the separate limits of each respective function. For example,
<math display=block>\begin{align}
Line 140:
Although L'Hôpital's rule applies to both <math>0/0</math> and <math>\infty/\infty</math>, one of these forms may be more useful than the other in a particular case (because of the possibility of algebraic simplification afterwards). One can change between these forms by transforming <math>f/g</math> to <math>(1/g)/(1/f)</math>.
== Confusion around indeterminate forms involving infinity ==
There is confusion surrounding indeterminate forms for laymen and mathematicians with equations that involve infinity<ref>[https://math.stackexchange.com/questions/319764/1-to-the-power-of-infinity-why-is-it-indeterminate StackExchange Thread 1]
[https://www.reddit.com/r/mathematics/comments/vlvjyq/why_is_one_raised_to_infinity_not_equal_to_one/ Reddit Thread 2]</ref>. Take the example <math>1^\infty</math>, the rule that <math>1^n=1</math> is a fundamental rule taught since middle school. The reason why mathematicians define the equations below as indeterminate forms is because defining them would cause problems for many systems of mathematics. The intuitive answer would be the correct one. In the example, laymen generally mean <math>\underbrace{ 1*1*1*1*1\cdots*1 }_{\infty}</math> (note that there would be no last 1) which would equal 1. Mathematicians however have a rigorous definition of infinity and with the fact that problems would arise in some fundamental theorems is why equations involving infinity are left as indeterminate.
