I'm preparing a design/teaching experiment for my Curriculum Design Course right now. I've decided to cover L'Hopital's rule with a student I've been working with for a year, so skill wise he's ready to go. And I'm probably only going to focus on the form 0/0 in my tasks.
I'm trying to utilize an APOS & RME framework to guide my tasks - but I'm having an issue coming up with the necessity for L'Hopital's rule. I know we need it to completely evaluate indeterminate forms - but I'm sure my student will just be fine leaving it and saying he's done.
Any insight would be appreciated, and if I'm posting this is the wrong spot or if there's a better place to go I would like to know.