The p-series ∑n=1∞1np\sum_{n=1}^{\infty} \frac{1}{n^p}∑n=1∞np1 converges if and only if:
p>0p > 0p>0
p>1p > 1p>1
p≥1p \geq 1p≥1
p≥2p \geq 2p≥2