Bonjour, j’ai du mal avec l’exercice suivant :
Soit a>0
rechercher un équivalent en +\infty de ch(x)^a-sh(x)^a.
Mon problème est qu’en mettant mes ch et sh sous forme exponentielle, une technique comme l’arc-moitié ne me permet pas d’aboutir à une forme convenable pour ensuite faire mon DL.
Auriez-vous une indication pour me débloquer ? merci
salut
et si tu nous montrais tes calculs …
après avoir mis sous forme exponentielle je factorise par exp (x) les deux quotients et le deuxième facteur est alors de la forme (1 \pm e^{-2x})^a et on peut en faire un dl … même si un simple équivalent est demandé …
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