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For the Series n2n1/2lnn\sum _ { n - 2 } ^ { \infty } \frac { n ^ { 1 / 2 } } { \ln n }

Question 233

Essay

For the series n2n1/2lnn\sum _ { n - 2 } ^ { \infty } \frac { n ^ { 1 / 2 } } { \ln n } , tell whether or not it converges, and indicate what test you used. If the test involves a limit, give the limit. If the test involves a comparison, give the comparison.

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It diverges by the Comparison ...

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