Mini quiz #3
(Oct.11.2000)
TRUE OR FALSE ? (do not justify your answer)
1. If the sequence
is decreasing and if all
are positive then
converges. TRUE (the
sequence decreses and is bounded from below)
2. If
then
.
TRUE
3. If
then
converges. FALSE
4. If
and
diverges then
diverges. FALSE
5. If
diverges then
also diverges. TRUE
6. If all
are positive and if
then
converges. TRUE
(Ratio Test)
7. If all
are positive and if
then
converges. TRUE (Ratio
Test)
8. If
converges absolutely, then
converges absolutely. TRUE