Sum of 1/ln(n)^(ln(n)) from n=3 to infinity?

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The discussion centers on the convergence of the series defined by the sum of 1/ln(n)^(ln(n)) from n=3 to infinity. Participants explore the equivalence of ln(n)^(ln(n)) to n^(ln(ln(n))), confirming this relationship through the identity a^b = e^(ln(a)*b). The conclusion drawn is that understanding this transformation is crucial for analyzing the convergence of the series.

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Sum of 1/ln(n)^(ln(n)) from n=3 to infinity?
Does the sum of 1/ln(n)^(ln(n)) from n=3 to infinity converge or diverge?

TNX ...
 
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Can you show ln(n)^(ln(n))=n^(ln(ln(n)))?
 


Dick said:
Can you show ln(n)^(ln(n))=n^(ln(ln(n)))?

nope , you are magician , how u did it ?


TNX !
 


sedaw said:
nope , you are magician , how u did it ?


TNX !

Try it doing it. Use that a^b=e^(ln(a)*b).
 

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