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Límites y continuidad - Amolasmates

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Sección 11: Asíntotas 46<br />

Ejemplo 11.2. Halla la asíntotas de f(x) = 1<br />

y g(x) =<br />

x − 1 1<br />

x2 − 1<br />

Solución:<br />

f(x) = 1<br />

tiene x = 1.<br />

x − 1<br />

lim<br />

x→1 +<br />

1<br />

= +∞<br />

x − 1<br />

lim<br />

x→1− 1<br />

= −∞<br />

x − 1<br />

x = 1<br />

g(x) =<br />

1<br />

x2 tiene x = ±1<br />

− 1<br />

lim<br />

x→1 +<br />

1<br />

x2 = +∞<br />

− 1<br />

lim<br />

x→1− 1<br />

x2 = −∞<br />

− 1<br />

lim<br />

x→−1 +<br />

1<br />

x2 = −∞<br />

− 1<br />

lim<br />

x→−1− 1<br />

x2 = +∞<br />

− 1<br />

x = −1<br />

x = 1<br />

<br />

MATEMATICAS<br />

1º Bachillerato<br />

A<br />

d<br />

B<br />

s = B + m v<br />

r = A + l u<br />

SOCIALES<br />

MaTEX<br />

<strong>Límites</strong> y<br />

Continuidad<br />

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