Myriadi
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I am having difficulty determining whether or not the following sequence can be classified as convergent or divergent:
^{\infty}_{k=1}{\sum}\frac{1}{k^{ln(k)}}
This can be simplified to:
^{\infty}_{k=1}{\sum}\frac{1}{e^{{ln(k)}^{2}}}
Both the ratio test and root test are inconclusive (giving values of 1), while attempting the integral test doesn't work as I am unable to integrate this as a function.
Any suggestions?
^{\infty}_{k=1}{\sum}\frac{1}{k^{ln(k)}}
This can be simplified to:
^{\infty}_{k=1}{\sum}\frac{1}{e^{{ln(k)}^{2}}}
Both the ratio test and root test are inconclusive (giving values of 1), while attempting the integral test doesn't work as I am unable to integrate this as a function.
Any suggestions?
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