using L'Hospital solve $\lim_{x \to \infty} x - x^{2}\ln(1 + \frac{1}{x})$

derivatives

Solution 1:

Letting $y=1/x$ gives

$$\lim_{y\to 0} \frac{y-\ln(1+y)} {y^2}. $$

I think you can see it now!

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