Using the comparison Test to see if a series converges or diverges ∑1/(1+(n^3)):

Im trying to use the limit comparison test, but I'm struggling to find the comparing equation.  I would appreciate if someone could either give me advice to finding the comparing equations and/or the equation of the this problem.
1/(1+n^3)&lt;1/n^3&lt;1/n^2

so 
sigma 1/n^2 =pi^2/6 converge

0&lt;1/(1+n^3)&lt;1/n^3&lt;1/n^2

then sigma 1/(1+n^3) converge
1/(1+n^3)&lt;1/n^3&lt;1/n^2

so 
sigma 1/n^2 =pi^2/6 converge

0&lt;1/(1+n^3)&lt;1/n^3&lt;1/n^2

then sigma 1/(1+n^3) converge