MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Let ∑an and ∑bn be series with positive terms such that n→∞limbnan=5. Which of the following statements is most accurate?
(a) Both series converge.
(b) Both series diverge.
(c) Either both series converge or both diverge.
(d) Because an>bn eventually, ∑an diverges while ∑bn may converge or diverge.