Use the Ratio Test to determine whether the series is convergent or divergent.
[infinity] (−1)n 4nn!
10 · 17 · 24 ·cdots.gif· (7n + 3)
sum.gif
n = 1
Identify
an.
4nn!
(7n + 3)!
(4nn)!
10 · 17 · 24 ·cdots.gif· (7n + 3)
4n
(7n + 3)!
4nn
(7n + 3)!
4nn!
10 · 17 · 24 ·cdots.gif· (7n + 3)
Correct: Your answer is correct.
Evaluate the following limit.
lim n → [infinity]
abs1.gif
an + 1
an
abs1.gif
Since
lim n → [infinity]
abs1.gif
an + 1
an
abs1.gif
? < = > 1,
---Select--- the series is convergent the series is divergent the test is inconclusive .