Determine series is convergent or divergent by root test, Mathematics

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Find out if the following series is convergent or divergent.

520_Determine series is convergent or divergent by Root Test 1.png

Solution

There really is not very much to these problems another than calculating the limit and then using the root test.  Here is the boundary for this problem.

1680_Determine series is convergent or divergent by Root Test 2.png

Thus, by the Root Test this series is divergent.


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