- #1
ptolema
- 83
- 0
Homework Statement
use the third degree Taylor polynomial of cos at 0 to show that the solutions of x2=cos x are approx. [tex]\pm[/tex][tex]\sqrt{2/3}[/tex], and find bounds on the error.
Homework Equations
P2n,0(x) = 1-x2/2!+x4/4!+...+(-1)nx2n/(2n)!
The Attempt at a Solution
when it says "third degree" for cos at 0, does it mean that n=3, so P6,0 is what is needed? or does it mean that 2n=3, so i should use P3,0?
because P6,0(x) = 1-x2/2!+x4/4!-x6/6! is very different from P3,0(x) = 1-x2/2!
i'm also not so hot on the finding the error, but the degree thing is most of the problem
Last edited: