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Soluciones a los Teoremas 46<br />

Prueba <strong>de</strong>l Teorema 2.4. Equivalencia <strong>de</strong> e x − 1 ∼ x<br />

Como<br />

ln(1 + x) ∼ x =⇒ e ln(1+x) ∼ e x =⇒<br />

=⇒ 1 + x ∼ e x =⇒ e x − 1 ∼ x =⇒<br />

lim<br />

x→0<br />

e x − 1<br />

x<br />

= 1<br />

◭<br />

MATEMATICAS<br />

2º Bachillerato<br />

A<br />

d<br />

B<br />

s = B + m v<br />

r = A + l u<br />

CIENCIAS<br />

MaTEX<br />

<strong>Límites</strong><br />

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