3.2 Definición de límite de una función.

[justify]Un [b]límite[/b] se denota como los valores de una función (hacia donde se dirige y) cuando x se aproxima a cierto número; en otras palabras, el par ordenado que le correspondería a y cuando x adopta un valor. Se puede dibujar la gráfica de la función f(x) dada por:[br][br] [img]data:image/png;base64,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[/img][/justify][justify]Para todos los valores distintos de  1  es posible emplear las técnicas usuales para graficar, pero cuando x = 1  no sabemos qué esperar (note que cuando x=1  se indetermina la función), y para esto usamos dos conjuntos de valores de x: uno que se aproxime por la derecha y otro que se aproxime por la izquierda.[br][br] [img]data:image/png;base64,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[/img][br][/justify][justify]En esta tabulación podemos apreciar que la función, es decir y, se acerca al valor de 3 si el dominio de x se acerca tanto como se quiera a 1.La gráfica de esta ecuación resulta ser una parábola con un hueco en el punto (1,3); por lo que decimos que cuando x  tiende a 1, f(x) se aproxima a 3.[/justify]
[justify]Definición formal de limite: Si f(x) se acerca arbitrariamente a un número L cuando x se aproxima a c, entonces el límite de f(x) cuando x se aproxima a c es L.[/justify] [img]data:image/png;base64,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[/img][br]Existen tres métodos para hallar el límite de una función:[br]1.  Método tabular (tabla de valores).[br]2.  Método gráfico.[br]3.  Método algebraico.

Information: 3.2 Definición de límite de una función.