Test the convergence of the series \(\sum\limits_{n = 1}^\infty {\frac{{(n + 1){x^n}}}{{{n^3}}};x > 0} \)
1
Convergent if x > 1
2
Divergent if x < 1.
3
Convergent if x ≤ 1 and Divergent if x > 1.
4
Convergent if x > 1 and Divergent if x < 1.
Test the convergence of the series \(\sum\limits_{n = 1}^\infty {\frac{{(n + 1){x^n}}}{{{n^3}}};x > 0} \)