Favorite Theorem #2: Taylor’s Theorem
Posted in Favorite Theorems on December 8th, 2005 4 Comments »
Taylor’s Theorem
I am likely lose too many of my regulars with this one but I have to throw it in since it ranks, by far, at the top of my list of fave’s.
Thm: Let for some interval . For , we have that
where
Taylor’s theorem gives a polynomial approximation to a smooth [...]