Prove that = e
given that: If g is continuous at c and f is continuous a g(c), then the composition f o g is continuous at c
I find that definition rather bazaar. By that I mean beginning students do not have the tools to deal with that abstraction.
My all time favorite calculus textbook is the first edition of Gillman & McDowell, 1972.
It is normal is size( not the dictionary size), does integral as betweeness, and has this definition of e.
The number is defined as the number such that