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Límites Laterales: Verdadero o Falso

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Límites Laterales: Verdadero o Falso

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About this activity

Desafía tus conocimientos sobre límites laterales.

Created by

Belen Tamami
Belen Tamami
Ecuador

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Límites Laterales: Verdadero o Falso
 

Límites Laterales: Verdadero o FalsoOnline version

Desafía tus conocimientos sobre límites laterales.

by Belen Tamami
1

El límite lateral izquierdo se denota lim_{x->a-} f(x).

2

El límite lateral derecho siempre existe si el límite de f en a existe.

3

La existencia de un único límite lateral implica que la función es continua en a.

4

Si f está definida y es continua en a, entonces los límites laterales no tienen por qué existir.

5

Si lim_{x->a-} f(x) y lim_{x->a+} f(x) no existen, entonces f no está definida cerca de a.

6

El límite lateral derecho puede ser distinto del valor de la función en a siempre que la función esté definida en a.

7

Una función con un salto puede tener límites laterales diferentes.

8

Si lim_{x->a-} f(x) = L y lim_{x->a+} f(x) = L, entonces el límite de f en a existe y vale L.

9

El límite lateral derecho se denota lim_{x->a+} f(x).

10

Si la función es continua en a, existen y son iguales los límites laterales y el valor f(a).

 
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