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De-montrer-que-la-fonction-f-x-x-2-sin-1-x-admet-un-DL-d-ordre-2-




Question Number 103870 by Ar Brandon last updated on 17/Jul/20
De^� montrer que la fonction   f(x)=x^2 ∙sin((1/x)) admet un DL d′ordre 2.
$$\mathcal{D}\acute {\mathrm{e}montrer}\:\mathrm{que}\:\mathrm{la}\:\mathrm{fonction}\: \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{2}} \centerdot\mathrm{sin}\left(\frac{\mathrm{1}}{\mathrm{x}}\right)\:\mathrm{admet}\:\mathrm{un}\:\mathrm{DL}\:\mathrm{d}'\mathrm{ordre}\:\mathrm{2}. \\ $$

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