Chapter 8: Infinite Sequences and Series
Section 8.3: Convergence Tests
Determine if the series ∑n=1∞lnn5 n+2 diverges, converges absolutely, or converges conditionally.
If it converges conditionally, determine if it also converge absolutely.
That n5 n+2→15 as n→∞ suggests considering the nth-term test. Indeed,
so that the series necessarily diverges because the nth term does not go to zero.
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