Which statement best defines a p-series ∑n=1∞1np\sum_{n=1}^{\infty} \frac{1}{n^p}∑n=1∞np1?
Converges for p≤1p \leq 1p≤1
Converges for p>1p > 1p>1
Diverges for p>1p > 1p>1
Never converges