Generating Functions, Taylor Series, Taylor Theorem, Central Limit Theorem, Deep Dives.
Meanwhile, let’s return to the limit of the MGF of Z_bar_n as n tends to infinity. We’ll make some more progress on simplifying the R.H.S of this limit, and then sculpting it into a certain shape: Some algebraic manipulation of the limit of Z_bar_n (Image by Author) It may not look like it, but