AP Calculus BC Quiz
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INFINITE SEQUENCES AND SERIES
Question 1
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A model uses
∑
n
=
2
∞
(
−
1
)
n
n
ln
n
\sum_{n=2}^\infty \frac{(-1)^n}{n\ln n}
∑
n
=
2
∞
n
l
n
n
(
−
1
)
n
; classify its convergence as absolute, conditional, or divergence.
A
Converges conditionally
B
Converges absolutely
C
Diverges by comparison to
∑
1
n
\sum \frac{1}{n}
∑
n
1
D
Converges absolutely by the integral test
E
Diverges because
ln
n
\ln n
ln
n
grows too slowly for alternation to matter
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