Bjr, Quelle est la limite de (e^2x) - (4e^x) en démontrant svp.... Pergunta de ideia deLetoz177

Letoz177 @Letoz177

June 2019 1 80 Report

Bjr, Quelle est la limite de (e^2x) - (4e^x) en démontrant svp

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MichaelS

Bonjour,

On pose $X=e^x$

Rappel : $e^{2x}=(e^x)^2$

L'équation devient donc $X^2-4X$

On sait que la limite d'un polynome est la limite de son terme de plus haut degré donc $\lim_{X \to \infty} X^2-4X = lim_{X \to \infty} X^2=\lim_{x\to\infty} (e^x)^2=+\infty$

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