# Please justify whether the series converges or diverges, and find sum, if it converges. sum_(n = 1)^ oo 3/n^2

Please justify whether the series converges or diverges, and find sum, if it converges.
$\sum _{n=1}^{\mathrm{\infty }}\frac{3}{{n}^{2}}$
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$\sum _{n=1}^{\mathrm{\infty }}\frac{3}{{n}^{2}}$
$\sum _{n=1}^{\mathrm{\infty }}\frac{1}{{n}^{p}}$ – if $p>1Z$ – series converges, if $p<1$, series diverges.
Therefore, series converges by p-test.

Jeffrey Jordon