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Calculer les limites : \(\lim_{x\to0} \int_x^{3x} \frac t{\tan^2t}\,dt\) et \(\lim_{x\to0} \frac1{x^3} \int_0^x \frac {t^2}{t+e^{3t}}\,dt\).
Calculer les limites : \(\lim_{x\to0} \int_x^{3x} \frac t{\tan^2t}\,dt\) et \(\lim_{x\to0} \frac1{x^3} \int_0^x \frac {t^2}{t+e^{3t}}\,dt\).