El límite de una función tiene varias características importantes, que nos ayudan a comprender fenómenos de cambio y el comportamiento de las funciones en diversos contextos reales.
[b]1.[/b] Permite describir el comportamiento de una función cerca de un punto, sin necesidad de que esté definido exactamente en ese punto. [b]Por ejemplo:[/b][br][br][center][img width=54,height=34]data:image/png;base64,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[/img] = [img width=88,height=32]data:image/png;base64,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[/img] = [img width=61,height=28]data:image/png;base64,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[/img] =[img width=90,height=28]data:image/png;base64,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[/img] [/center]Aunque la función no está definida en x=2 (porque se indetermina), el límite existe y es 4.[br][br][br] [b]2.[/b] Es un concepto que se basa en la aproximación, no en el valor exacto. [b]Por ejemplo:[/b][br][br][center][img width=70,height=28]data:image/png;base64,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[/img][/center]Cuando x está cerca de 1, [img width=46,height=22]data:image/png;base64,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[/img] está cerca de 2.[br][br] [b]3.[/b] Puede existir o no, dependiendo del comportamiento de la función por la izquierda y por la derecha. [b]Por ejemplo:[/b][list][center][img width=63,height=28]data:image/png;base64,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[/img][/center][/list][img]data:image/png;base64,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[/img][br][br]Cuando el límite se aproxima a 2 tanto por la izquierda como por la derecha, el valor de la función [b]f(x)[/b] o [b]y[/b] tiende a 3. Como ambos lados se acercan al mismo valor (3), el límite existe y es igual a 3. [br][br]Estas características nos ayudan a comprender fenómenos de cambio, continuidad y comportamiento de funciones en diversos contextos reales.