Which of the following is true regarding the p-series ∑n=1∞1np\sum_{n=1}^{\infty} \frac{1}{n^p}∑n=1∞np1?
Converges if p>1p > 1p>1
Converges if p<1p < 1p<1
Diverges if p=1p = 1p=1
Diverges if p>1p > 1p>1