Barrons AP Calculus - David Bock

33. (B) The Maclaurin series is

When an alternating series satisfies the Altering Series Test, the sum is approximated by

using a finite number of terms, and the error is less than the first term omitted. On the

interval −π x π, the maximum error (numerically) occurs when x = π. Since

four terms will suffice to assure no error greater than 0.1.