#### Limite = 4

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• Simplifiez : \( f(x) = rac{(x - 2)(x + 2)}{x - 2} = x + 2 \) pour \( x
• eq 2 \).
• La limite lorsque \( x o 2 \) : \( \lim_{x o 2} (x + 2) = 4 \).
• La population \( P(t) \) d'une ville croît selon \( P(t) = P_0 e^{rt} \), où \( P_0 = 5000 \) et \( r = 0.03 \) par an. Quand la population doublera-t-elle ?
• Établissez \( 10000 = 5000 e^{0.03t} \Rightarrow 2 = e^{0.03t} \).
• \( \ln(2) = 0.03t \Rightarrow t = rac{\ln(2)}{0.03} pprox rac{0.6931}{0.03} pprox 23.103 \) ans.

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