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Sucesiones: Límites y Monotonía

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Sucesiones: Límites y Monotonía

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Quiz sobre límites, convergencia y monotónicas

Created by

Alejandra García García
Alejandra García García
Mexico

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Sucesiones: Límites y Monotonía
 

Sucesiones: Límites y MonotoníaOnline version

Quiz sobre límites, convergencia y monotónicas

by Alejandra García García
1

Toda sucesión monótona converge.

2

Una sucesión monótona y acotada es convergente.

3

Si una sucesión es creciente y acotada, entonces converge.

4

Una sucesión convergente tiene un límite real L y sus términos tienden a L.

5

Una sucesión convergente no necesita ser acotada.

6

Si a_n → L, entonces la sucesión es creciente.

7

Toda sucesión convergente es acotada.

8

Toda sucesión tiene una subsecuencia convergente.

9

Una sucesión que tiende a un límite L es convergente.

10

Una sucesión que toma solo 0 y 1 es siempre monótona.

11

Si una sucesión {a_n} converge a L, L es único con esta propiedad, es decir que el límite es único.

 
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