Question

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

Answer 1

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

Answer 2

i think yes

Answer 3

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

Answer 4

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.

Answer 5

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