Step 1:

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The series \"\".

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Consider \"\" and \"\".

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Find the ten partial sums of the series by considering a table.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
10.44720.4472
20.70711.1543
30.83201.9863
40.89442.8807
50.92843.8091
60.94864.7577
70.96155.7192
80.97016.6893
90.97617.6654
100.98058.6459
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Step 2:

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Divergence test:For the series \"\", If \"\", then the series \"\" is divergent.

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Find \"\"

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\"\"

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If \"\"

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\"\"\"\"

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Since \"\", then the series \"\" is divergent.

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Solution:

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The series is divergent.

\