MATHEMATICS · Multi-part · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Consider the function s(x)=cos(x) for x≥0.
(a) Write the first three non-zero terms of the Maclaurin series for s.
(b) Use the truncated series from part (a) to approximate cos(0.1).
(c) Determine whether your approximation in part (b) is an underestimate or an overestimate of the exact value, and justify your conclusion by examining the sign of the first omitted term.