What makes the McLaren series for e^x so amazing?

[IntegrateMe]

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.

 

[mgb_phys]

It's the way of calculating almost all functions e,sin,cos etc.

If you want to look it up - it's spelled "Maclaurin"