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Desafío de Límites: 0/0 e ∞/∞

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Quiz de límites y formas indeterminadas

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Argentina

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Desafío de Límites: 0/0 e ∞/∞
 

Desafío de Límites: 0/0 e ∞/∞Online version

Quiz de límites y formas indeterminadas

by Andrés Agüero
1

¿Qué forma indeterminada corresponde al límite cuando tiende a -2 de (x^4-16)/(x^2-4)?

2

¿Qué técnica se emplea para resolver límites con 0/0 o ∞/∞?

Escoge una o varias respuestas

3

Limite de (2x^2+3x)/x^2 cuando x→∞ es?

4

Si los límites laterales se acercan a un mismo valor que no está en el dominio

5

¿Qué dice el límite de (1/x) cuando x→0?

6

¿Qué resultado tiene lim x→2 √(x-2)/√(x)-2 ?

Explicación

0/0 es una forma indeterminada típica que aparece al sustituir x→a en expresiones con cancelaciones.

Al dividir por x^2 y tomar x→∞, los términos dominantes revelan el cociente 2.

Al acercarse a 0, 1/x crece sin límite positivo o negativo.

x^2/x = x, y al acercarse a 0, x→0.

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