The following proposition has a nice geometric proof, using the sandwich theorem (later on, 6.1). A more efficient way to prove it is to use either L'Hopital's rule ( i.e. Theorem L'Hopital) or MacLaurin polynomials (v.i. def Taylor polynomial); we will learn them later.
As , we have:
Note that there are other ways to solve this question; one of them will appear in chapter 6, section section l'hopital, another one in chapter 10, section v6.
Noah Dana-Picard 2007-12-28