Generating Functions, Taylor Series, Taylor Theorem, Central Limit Theorem, Deep Dives.
to the topic at hand, Taylor’s theorem, which we’ll use to prove the Central Limit Theorem, is what gives the Taylor’s series its legitimacy. Taylor’s theorem says that as x → a, the remainder term R_r(x) converges to 0 faster than the polynomial (x — a) raised to the power r. Shaped into an