The Maclaurin series for is alternating and convergent for
MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
The Maclaurin series for arctanx is alternating and convergent for ∣x∣≤1. Decide whether the degree-5 Maclaurin polynomial approximates arctan(1) with an error whose magnitude is below 2×10−4. State Yes or No and provide the numerical bound you used.