Which of the following statements gives a sufficient set of conditions for the…
MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Which of the following statements gives a sufficient set of conditions for the alternating series ∑n=1∞(−1)nan to converge?
(a) {an} is positive and bounded above by 1.
(b) {an} is eventually decreasing, but the limit of an need not be 0.
(c) {an} is eventually decreasing and n→∞liman=0.
(d) n→∞liman=0.