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Evaluate \displaystyle \lim _{x \rightarrow \infty }\left \{\frac {\ln \left [...

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Evaluate \displaystyle \lim _{x \rightarrow \infty }\left \{\frac {\ln \left [x\left (1+\frac {1}{x}\right )\right ]}{\ln x^2}\right \}\displaystyle \lim _{x \rightarrow \infty }\left \{\frac {\ln \left [x\left (1+\frac {1}{x}\right )\right ]}{\ln x^2}\right \}.

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