AIUTO!lim x→0 sin^2 x / sin x^2 =1?

Il testo è chiarissimo, non c'è alcun segno di frazione quindi intendiamo un prodotto. Poiché x? -?

, non tieni conto del + 1 e puoi scrivere lim_x? -? (x²*e^(x)) Dobbiamo pervenire al limite notevole lim_t?

+? (t^(c)/e^(t)) = 0 Imponiamo - x = t se x? -?

, t? +? Lim_t?

+? (t²*e^(-t)) = lim_t? +?

(t²/e^(t)) = 0 Ricorda I due limiti notevoli lim_x? +? (e^(x)/x^(c)) = +?

Lim_x? +? (x^(c)/e^(x)) = 0.

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