I am freshening up on differential calculus, and I came up with a thought experiment in the context of using l'Hopital's rule.
Is there a limit of a function that will always give an indeterminate form regardless of the number of times the numerator and denominator are differentiated?
Answerers can choose any value to be approached, and any function. Single-variable and multi-variable are fine. I also don't mind which indeterminate forms are involved.