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Calculer \(\frac {d^n}{d t^n}\left(t^{n-1}\ln t\right)\), et \(\frac {d^n}{d t^n}\left(t^{n-1}\exp(1/t)\right)\) (essayer \(n=1,2,3\)).
Calculer \(\frac {d^n}{d t^n}\left(t^{n-1}\ln t\right)\), et \(\frac {d^n}{d t^n}\left(t^{n-1}\exp(1/t)\right)\) (essayer \(n=1,2,3\)).