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Harmonic Series
Worksheet
Grade Level
Calculus II
CAL2.117 Harmonic Series
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Which statement correctly identifies the divergence mechanism for ∑_{n=1}
∞
(5n+2)/(5n
2
+n)?
A
It behaves like 1/n, and the limit comparison with the harmonic series is 1, so it diverges.
B
It behaves like 1/n
2
, so it converges.
C
It behaves like 5n, so terms do not approach 0.
D
It is alternating, so it converges conditionally.
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