\[
\begin{array}{r}
\lim _{n \rightarrow \infty}\left[\frac{1^{2}+2^{2}+\ldots . .+n^{2}}{5 n^{3...
\[
\begin{array}{r}
\lim _{n \rightarrow \infty}\left[\frac{1^{2}+2^{2}+\ldots . .+n^{2}}{5 n^{3}}+\frac{4\left(1^{3}+2^{3}+\ldots .+n^{3}\right)}{3 n^{4}}\right. \\
\left.+\frac{1+2+\ldots \ldots+n}{n^{2}}\right]
\end{array}
\]
equals
(a) \( 9 / 10 \)
(b) \( 1 / 10 \)
(c) \( 1 / 2 \)
(d) \( 1 / 3 \)
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