Among \((S1):\lim _{n\to \infty }\frac{1}{{n}^{2}}(2+4+6+\ldots +2n)=1\\ (S2):\lim _{n\to \infty }\frac{1}{{n}^{16}}\lef…

Among

\((S1):\lim _{n\to \infty }\frac{1}{{n}^{2}}(2+4+6+\ldots +2n)=1\\ (S2):\lim _{n\to \infty }\frac{1}{{n}^{16}}\left({1}^{15}+{2}^{15}+{3}^{15}+\ldots ..+{n}^{15}\right)=\frac{1}{16}\)

[JEE Main 2023, 13 Apr (Shift 1)]