TD13 Integrales - 4 Intégrales généralisées II - cpge paradise

Soit fe C¹(R, R), telle que fof converge. Montrer qu'il existe a > 0 tel que fotf(t)dt = a2f(a) (étudier r? Stf(t)dt).







Correction TD 13
?2n2 ?3n ?4. (n +1)(n +2). Or pour tout entier naturel n, (n + 1)(n + 2) > 0 comme produit de deux nombres strictement positifs.
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