Generating Functions, Taylor Series, Taylor Theorem, Central Limit Theorem, Deep Dives.
f⁰(a), f¹(a), f²(a), etc. are the 0-th, 1st, 2nd, etc. derivatives of f(x) evaluated at x=a. f⁰(a) is simple f(a). The value ‘a’ can be anything as long as the function is infinitely differentiable at x = a, that is, it’s k-th derivative exists at x = a for all k from 1 through infinity. In spite