that lim by repeated application of L’Hôpital’s rule.(C).(E) The harmonic series is a counterexample for (A), (B), and (C). shows that (D) does not follow.(B) ; so,
and .(A).(B) Find counterexamples for statements (A), (C), and (D).(D) , the general term of a divergent series.(D) (A), (B), (C), and (E) all converge; (D) is the divergent geometric
series with r = −1.1.