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Quiz: Límites al Infinito

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Desafío sobre límites en ∞

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Quiz: Límites al Infinito
 

Quiz: Límites al InfinitoOnline version

Desafío sobre límites en ∞

by Yesil Andrea
1

Cuál es el límite de la gráfica de esta función cuando x toma valores positivos infinitamente grandes.

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2

¿Cuál es el resultado?

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3

Si lim_{x→∞} f(x)=L, ¿qué representa L?

4

¿Cuál es el resultado de este límite?

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5

¿Qué límite indica una asíntota horizontal en x→∞ para f(x)?

Explicación

La gráfica de la función se esta acercando al eje x, es decir a cero.

Al aumentar x, 1/x tiende a 0.

L es la altura límite de la curva para grandes x.

El grado de los términos dominantes son los mismo para el numerador y para el denominador, los coeficientes principales son 1(numerador) y raíz de 4 (=2) en el denominador.

L es la altura de la asíntota horizontal.

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