This 22-question circuit will keep your students engaged and give them great practice as they return to evaluate limits (indeterminate form 0/0 or infinity / infinity) with new knowledge of L'Hospital's Rule. No technology should be used to evaluate these limits. All functions are included from polynomial to square root, from exponential to log, from trig to inverse trig functions. Not all of the 22 questions require L'Hospital's Rule (i.e. another valid method could be used) and there are two of the 22 questions for which L'Hospital's Rule does not apply. The last questions involve expressions as definite integrals so the Fundamental Theorem of Calculus is needed too.
There is no answer key included because the answers are imbedded in the circuit (it is how students move from one problem to the next -- the problems are progressive in nature). The only prep the teacher needs to do is work the circuit ahead of the students to see what kind of guided notes/examples should be given before setting the students free on the circuit.
My colleagues and I check our circuits very carefully but should you ever find a mistake or get stuck, please do not hesitate to contact me at firstname.lastname@example.org.