since e^pi x i = -1, then -1 plus 1 = 0

"and note:i want it to be proved with power series"

and what are you talkign about e^i*pi=-1 are you high?

did you pull that out thin air? i need proof

Go away Burgoo King, you're drunk.

@Burgoo King:
Remember that not all high schools in the entire world teach the exact same topics in mathematics. I can't remember for sure, but I think my high school didn't officially teach it either (in the last one or two years of my high school we had a class where the teacher raced through the normal material and then had time left for "hobbying around"; teaching stuff (well) outside the regular curriculum to the kids who where curious about mathematics and wanted to know more).

On a related note, unless you are a teacher, you don't get to prescribe how people proof something, any valid proof is, well, a valid proof. (The proof for the preceding statement: "Tautology, QED".)

@Moros:
Does this http://9gag.com/gag/6599111 solve your piano question? :p

well he shouldnt have been so smug about it. and also i said i want it proved this way. are there a set of rules that im unaware about that say i cant have it proved via a certain method? thats just idiotic,this isnt like a scientific community where we're proving unwritten hypothesis about particles or something i can ask for any specifics i want

@RvW
Haha, I know that one ;)
Release the penguins!