Does the series with (k^1/2)*(ln k)/(k^3+1) converge or diverge?

[raycao88124]

(k^1/2)*(ln k )/(k^3 +1)
how to prove it con or div?
i tried comparison, limit comparison, etc... but just don't know how to prove it..
please help...

 

[raycao88124]

oh, from k=1 to +inf

 

[durt]

Hint: $\ln{k} < k$. What comparisons have you tried? Try some more.