To efficiently determine convergence of ∑n=1∞(3n2+15n3+n+2)n\sum_{n=1}^{\infty} \left(\frac{3n^2+1}{5n^3+n+2}\right)^n∑n=1∞(5n3+n+23n2+1)n, which test is MOST appropriate?
Limit comparison test
Root test
Ratio test
Integral test