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Question Number 85985 by Rio Michael last updated on 26/Mar/20

$$\mathrm{Consider}\mathrm{the}\mathrm{function}f\mathrm{defined}\mathrm{by}\mathrm{par}f\left(x\right)=-x+\frac{\ln x}{x}\mathrm{in}\mathrm{the}\mathrm{interval}$$$$:]0,+\mathrm{\infty }[.\left(C_f\right)\mathrm{is}\mathrm{its}\mathrm{representative}\mathrm{curve}\mathrm{in}\mathrm{an}\mathrm{orthonormal}$$$$\mathrm{reference}\mathrm{system}(\mathrm{O},\overrightarrow{i},\overrightarrow{j}).$$$$\mathrm{Calculate}\underset{x\to 0^{+}}{\lim }f\left(x\right),\underset{x\to +\mathrm{\infty }}{\lim }f\left(x\right).$$

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