Find a value for n such that the absolute error in the approximation is less than , given that about 0.
(Note: f(x) = cos(x))
I replace sin(c) with 1, since it is an upper bound, and x with 2:
We want this error to be less that , so:
This is equivalent to finding:
This isn't right. The answer should be n = 14. Where have I gone wrong? Thanks.