Formula Fun - Sequences and Series

• So today I was at math practice and we were studying sequences and series!!! ^o^ And a teammate of mine showed me a very important formula to remember:

∞ _ _ _ _ _ _ _ _ _  _

∑ (x^n) / (n!) = e^x

n=0 _ _ _ _ _ _ _ _ _ _ _ _  _

• This is the Taylor series expansion for e^x. It's very important to know in sequences and series, because Taylor series is good for approximating the value of a function (at a certain value). He had to have this memorized for when he took the BC AP Calculus exam because he is a ninja when it comes to math (and life). I'm not as smart, however, so I only took AB and didn't learn it until today. :c Still, I'm very grateful he pointed this formula out to me. And hopefully posting it on my blog will help me to remember it! :D Isn't it just so awesome and amazing and interesting and useful?!?! yeah, not really unless you're studying sequences i guess...

• But anyway, I hope you enjoy this wonderful formula. c: Until next time!

Less than three,

The Artist