Generating Functions, Taylor Series, Taylor Theorem, Central Limit Theorem, Deep Dives.
out the k-th element of the sequence a_k. See below for how the 3rd derivative of the above mentioned EGF when evaluated at x=0 gives you the coefficient a_3. All other terms disappear into nothingness: Third derivative of the EGF yields a_3 (Image by Author) Our next topic, the Taylor series,