Among:
$$
\begin{aligned}
& \left(S_1\right)_{\operatorname{lin}}: \lim _{n \rightarrow \infty} \frac{1}{n^2}(2+4+6+\ldots \ldots+2 n)=1 \\
& \left(S_2\right)_{\ln }: \lim _{n \rightarrow \infty} \frac{1}{n^{16}}\left(1^{15}+2^{15}+3^{15}+\ldots \ldots+n^{15}\right)=\frac{1}{16}
\end{aligned}
$$
(1) Both $\left(\mathrm{S}_1\right)$ and $\left(\mathrm{S}_2\right)$ are true
(3) Only $\left(\mathrm{S}_2\right)$ is true
