Suppose that (v_{1}(alpha)) and (v_{2}(alpha)) are constant with respect to (n). Prove that if (R_{n}=left[n^{-1 / 2}

Question:

Suppose that $v_{1}(\alpha)$ and $v_{2}(\alpha)$ are constant with respect to $n$. Prove that if $R_{n}=\left[n^{-1 / 2} v_{1}(\alpha)+n^{-1} v_{2}(\alpha)+o\left(n^{-1}ight)ight]^{2}$ then a sequence that is $o\left(R_{n}ight)$ as $n ightarrow \infty$ is also $o\left(n^{-1}ight)$ as $n ightarrow \infty$.

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