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Continuidad en el Análisis Complejo de Funciones

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Continuidad en el Análisis Complejo de Funciones

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Evaluación de la comprensión final del estudiante sobre la continuidad en funciones complejas, identificando si logra aplicar la definición formal y comprende el concepto de trayectoria en el plano complejo

Created by

Nurian Jaqueline González Martínez
Nurian Jaqueline González Martínez
El Salvador

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Continuidad en el Análisis Complejo de Funciones
 

Continuidad en el Análisis Complejo de FuncionesOnline version

Evaluación de la comprensión final del estudiante sobre la continuidad en funciones complejas, identificando si logra aplicar la definición formal y comprende el concepto de trayectoria en el plano complejo

by Nurian Jaqueline González Martínez
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En el plano complejo, ¿por qué la continuidad es más exigente que en el real?

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¿Qué diferencia hay entre continuidad real y compleja?

Explicación

La continuidad requiere que el valor del límite sea igual al valor de la función en ese punto.

En el plano complejo hay infinitas direcciones para acercarse a un punto, y el límite debe ser el mismo en todas

Si el resultado del límite cambia según la trayectoria, no hay continuidad porque el límite no es único

Las funciones polinómicas, como z², son continuas en todo el plano complejo

 
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