Chapter 8: Infinite Sequences and Series
Section 8.3: Convergence Tests
Example 8.3.4
Determine if the series diverges, converges absolutely, or converges conditionally.
If it converges conditionally, determine if it also converge absolutely.
Solution
For large , behaves like , suggesting that the limiting behavior of be tested by
=
By the nth-term test, since does not go to zero as , the series must necessarily diverge.
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