Suppose {bn} is a sequence of positive terms such that limn→∞bn=0 but bn is not eventually decreasing. Consider the alternating series ∑n=1∞(−1)nbn. Which of the following best describes what can be concluded about the convergence of the series?
a) The series converges conditionally because n→∞limbn=0.
b) The series diverges since the terms do not decrease monotonically.
c) The standard alternating-series test is inapplicable; additional information or a different test is needed to determine convergence.
d) The series converges absolutely.