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Suma de la serie/ 1/(nln(n)(ln(ln(n)))^p)

Suma de la serie 1/(nln(n)(ln(ln(n)))^p)


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Solución

Ha introducido [src] 
  oo                       
____                       
\   `                      
 \              1          
  \   ---------------------
  /               p        
 /    n*log(n)*log (log(n))
/___,                      
n = 3
$$\sum_{n=3}^{\infty} \frac{1}{n \log{\left(n \right)} \log{\left(\log{\left(n \right)} \right)}^{p}}$$ 
Sum(1/((n*log(n))*log(log(n))^p), (n, 3, oo))
Respuesta [src] 
  oo               
____               
\   `              
 \       -p        
  \   log  (log(n))
  /   -------------
 /       n*log(n)  
/___,              
n = 3
$$\sum_{n=3}^{\infty} \frac{\log{\left(\log{\left(n \right)} \right)}^{- p}}{n \log{\left(n \right)}}$$ 
Sum(log(log(n))^(-p)/(n*log(n)), (n, 3, oo))

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