AP Calculus BC Quiz
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INFINITE SEQUENCES AND SERIES
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A sensor correction uses the infinite series
∑
n
=
1
∞
3
n
2
+
1
\sum_{n=1}^{\infty} \frac{3}{n^2+1}
∑
n
=
1
∞
n
2
+
1
3
. Does the series converge or diverge?
A
Converges by comparison with a
p
p
p
-series
B
Diverges by comparison with a
p
p
p
-series
C
Converges by the alternating series test
D
Diverges by the ratio test
E
Converges by the integral test
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