Use the Remainder Estimation Theorem to find an interval containing x=0 over which f(x) can be approximated by p(x) to three decimal-place accuracy throughout the interval. Check your answer by graphing |f(x) - p(x)| over the interval you obtained.
p(x)= x - (x^(3)/3!)
Remainder Estimation Theorem:
|Rn(x)| is less than or equal to (M/(n+1)!)|x-xo|^(n+1)
The Attempt at a Solution
i honestly have NO idea how to do this problem.. am i supposed to find the Maclaurin polynomial of sinx?
any help would be sooo appreciated!