using the first two terms of the Maclaurin series for y=cos(x) yields to within 0.001 over the interval |x| < k when k= (A) 0.032 (B) 0.394 (C) 0.786 (D) 0.788 (E) 1.570
Follow Math Help Forum on Facebook and Google+
The series for cosine is alternating, so the error is less than the next term (the third one) in magnitude, so you can have . As an afterthought, this is a dumb multiple choice question. Why not just always pick the smallest number?
View Tag Cloud