What makes the Maclaurin series for e^x so amazing? My teacher was talking about how the Maclaurin series for e^x is one of the most amazing concepts in mathematics but he wasn't able to extrapolate due to a lack of time. Anyone care to explain why this particular series is to magnificent? I understand this doesn't fall in the category of "homework help" but it's still a calculus "problem" regardless. Thanks. EDIT: mgb, sorry about that, haha.