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Question Number 190537 by Skabetix last updated on 05/Apr/23

Answered by Peace last updated on 05/Apr/23

$$e^u=1+u+\frac{u^2}{2}+o\left(u^2\right)$$$$a\left(u\right)=\mid 1+\frac{u}{2}-1+o\left(u\right)\mid \Rightarrow \underset{x\to 0}{\lim }u\left(x\right)=0$$$$\Rightarrow \mathrm{\forall }ϵ>0\mathrm{\exists }\eta ⩾0,\mathrm{\forall }\mid u\mid <\eta \Rightarrow \mid \alpha \left(u\right)\mid <ϵ$$$$definitiondeLim=0enZero$$$$suffitdechoisir\eta /2={\eta }_1$$

Commented by Skabetix last updated on 05/Apr/23

$$mercipourvotrereponsemaisjavouenepasavoirtoutcompris$$$$\left(jereprendslesmathsapresmesetudes\right).$$$$Serait-ilpossiblededevelopperunpeuplusleraisonnementsilvousplait$$

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