I would really appreciate if anyone could lend me a hand (and a brain) to solve some of these questions
where something similar may appear in my upcoming final!
-Without using l'hopital's rule find the limit of tan(2x)/tan((pi)x) (sorry, I dont know how to type the pi sign)
-how can I prove that functions cannot have two different limits at the same point?
-Find the limit of sec(x sec^2x - tan^2x - 1) as X --> 1 (this question is particularly killing me)
-Without using derivatives show that the equation x^3 - 15x + 1 = 0 has three solutions in the interval ( -4, 4 )
Thankyou very much for reading this!!! I hope I don't bother anybody!