Generating Functions, Taylor Series, Taylor Theorem, Central Limit Theorem, Deep Dives.
takes (t/√n) as a parameter. So we can create a Taylor series expansion of M_Z(t/√n) at t = 0 as follows: Taylor series expansion of M_Z(t/√n) at a = 0 (Image by Author) Next, we split this expansion into two parts. The first part is a finite series of three terms corresponding to k = 0, k = 1, and