\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Compléter le tableau de valeurs :
\(x\) \(\dfrac{1}{x-1}\)
\(0{,}9\)
\(0{,}99\)
\(0{,}999\)
\(0{,}9999\)
En déduire la conjecture :
\(\displaystyle\lim_{x \to 1^-} \frac{1}{x-1}=\)