MATHEMATICS · Multi-part · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Consider the function f(x)=sin(3x2).
(a) Determine the first four non-zero terms of the Maclaurin series for f(x) and write the result as a polynomial in ascending powers of x. Clearly indicate each coefficient.
(b) Use the polynomial found in part (a) to approximate f(0.2). Report your answer to six decimal places.