b) Approximate $| \sin(x)-p_{2n}(x)|$ with the use of the remainder formula .
Hint: One can approximate $|\sin^{(k)}(\xi)| $uniformly

Question

b) Approximate $| \sin(x)-p_{2n}(x)|$ with the use of the remainder formula .
Hint: One can approximate $|\sin^{(k)}(\xi)| $uniformly

jamesj · Answer

Where $ p_{2n}(x) $ is the 2n-th order Taylor expansion of sin(x)?

anonymous · Answer

i think yes

anonymous · Answer

i had a) part of question i have seen there something about 2n-th order

jamesj · Answer

You should figure that out for sure.  Then look up the Taylor theorem, because it tells you exactly how to estimate the 'error' or residual term of an n-th order Taylor polynomial.

Go and do that and when you feel you are ready to talk again, let me know.

anonymous · Answer

http://openstudy.com/users/tunahan#/updates/4fecd73fe4b0bbec5cfc61dc