\( \lim _{x \rightarrow \infty}\left(x-x^{2} \ln \left(1+\frac{1}{x...

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\( \lim _{x \rightarrow \infty}\left(x-x^{2} \ln \left(1+\frac{1}{x}\right)\right) \) is equal to:
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\( \begin{array}{llll}\text { (1) } \frac{1}{2} & \text { (2) } \frac{3}{2} & \text { (3) } \frac{1}{3} & \text { (4) 1 }\end{array} \)
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