Which statement correctly describes the maximum possible error when an alternating…
MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Which statement correctly describes the maximum possible error when an alternating series that satisfies the conditions of the alternating series test is approximated by the first N non-zero terms?
(a) The error in the approximation is no greater than the magnitude of the first term of the series.
(b) The error in the approximation is no greater than the magnitude of the Nth term of the series.
(c) The error in the approximation is no greater than the magnitude of the first omitted term.
(d) The error equals the sum of the absolute values of all terms after the Nth term.