Use the limit comparison test to determine whether
converges or diverges.
(a) Choose a series
with terms of the form
and apply the limit comparison test.
Write your answer as a fully simplified fraction.
For ,
(b) Evaluate the limit in the previous part. Enter
as
infinity and
as
-infinity. If the limit does not exist,
enter
DNE.
=
(c) By the limit comparison test, does the series
converge, diverge, or is the test inconclusive?
You can earn 40% partial credit for 2 - 3 correct answers.