Here's a "hard limit"
It's a nice one, and of course, it's harder without L'H˘pital's Rule.
I have a very hard one, but I'll post it when you've solved this one.
I have a calculus test coming up (first year) and i was wondering if you guys would happen to know of any questions (HARD ONES but still within the realm of first year) that i can practice with. Topics covered will be: limits, derivative, continuity (ie. finding constants a,b,c...such that the 2,3,4.... functions are continuous everywhere), trig and trig derivative, orthogonal trajectories, implicit. My prof always has a "very difficult" question (usually limits or continuity) where you either get 10/10 for correct answer or 0/10 nothing in between. So i need some hard questions to practice with....