Series test for convergence/divergence

[DrD]

How could the hp prime be used to directly determine convergence/divergence for a series, (not evaluate to the sum!)?

Example (converge/diverge)?:

∑ [n=1,∞] (2*n^2 + n) / √(4*n^7 + 3);

The idea is to use the various convergence tests, (such as done by Wolfram Alpha), for this example.

-Dale-