HP-71B: 1^Inf Error

[Gilles]

(06-09-2023 08:58 AM)anetzer Wrote:  

(06-09-2023 08:17 AM)J-F Garnier Wrote:  This result is, at first glance, a bit surprising so I wanted to check on other machines.

Wolfram Alpha also declares the result undefined.

It's curious. But there must be an mathematical explanation.
With Wolfram Alpha :

1^inf -> Undefine
but
Lim (x->inf, 1^x) -> 1

EDIT : see https://en.wikipedia.org/wiki/Indeterminate_form and https://www.youtube.com/watch?v=I7LjiDDI7ZA