>>14333984i think he wants a more intutitive explanation. e is the number such that e^x is its own derivative. why does (1+x)^(1/x) approach e at x=0? sure you can mechanically verify it, but in order to come up with this limit in the first place and know it will approach e you had to have some sort of intutition that told you that. maybe the key part is simply recognizing that for lim f(x) = e, then lim ln(f(x)) = 1, so we can pick an f(x) that satisfies this second equation, and knowing the chain rule pretty well helps figure it out.
