Evaluate the following limits \( \mathrm{P} \) \[ \lim _{n \rightar...

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Evaluate the following limits
\( \mathrm{P} \)
\[
\lim _{n \rightarrow \infty}\left[\frac{1}{\sqrt{n^{2}}}+\frac{1}{\sqrt{n^{2}+n}}+\frac{1}{\sqrt{n^{2}+2 n}}+\ldots+\frac{1}{\sqrt{n^{2}+n^{2}}}\right]
\]
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