Among
$$(S1) : \lim_{n \to \infty} \frac{1}{n^2}(2 + 4 + 6 + \ldots + 2n) = 1$$
$$(S2) : \lim_{n \to \infty} \frac{1}{n^{16}}(1^{15} + 2^{15} + 3^{15} + \ldots + n^{15}) = \frac{1}{16}$$

A

Both $$(S1)$$ and $$(S2)$$ are true

B

Only $$(S1)$$ is true

C

Both $$(S1)$$ and $$(S2)$$ are false

D

Only $$(S2)$$ is true