l'Hôpital vs Other Methods – math.stackexchange.com

Consider the first example using repeated l'Hôpital: $$\lim_{x \rightarrow 0} \frac{x^4}{x^4+x^2} = \lim_{x \rightarrow 0} \frac{\frac{d}{dx}(x^4)}{\frac{d}{dx}(x^4+x^2)} = \lim_{x \rightarrow 0} ...

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