Séries e somas parciais

A $n\text{-ésima}$n, start text, negative, e, with, \', on top, s, i, m, a, end text soma parcial da série $S$S é dada por

$\displaystyle{{S}_{n}}=2-\frac{4n}{{{n}^{3}+6}}$S, start subscript, n, end subscript, equals, 2, minus, start fraction, 4, n, divided by, n, cubed, plus, 6, end fraction.

$S=$S, equals