What's 1+1? (1 Viewer)

Drsoccerball

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How do you know whether a function can be written like that ? Actually wait the explanation is probably far too deep and complex for this blog, what are the theorems called so I can look them up ?
It's called a Taylor Series.
 

Zen2613

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It's called a Taylor Series.
Yeah i know (a little) about taylor series, but I've never understood why you can let a function be a polynomial be a polynomial of infinite degree in the first place. Like say to find the e^x one, let e^x = a0 +a1x +a2x^2 +... And then use calculus to find the coefficents. But how do you know that e^x can be written in this form in the first place ? We need some theorems!
 

MathsN00b

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InteGrand

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Yeah i know (a little) about taylor series, but I've never understood why you can let a function be a polynomial be a polynomial of infinite degree in the first place. Like say to find the e^x one, let e^x = a0 +a1x +a2x^2 +... And then use calculus to find the coefficents. But how do you know that e^x can be written in this form in the first place ? We need some theorems!
Search up Taylor's theorem.
 

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