3.1 Noción de límite

[justify]Los limites están en nuestra vida diaria, y hacen posible el funcionamiento de nuestra sociedad. Un ejemplo practico es el limite de velocidad al que un vehículo puede transitar. Este limite se establece dependiendo de la zona, si es en zona urbana generalmente el limite es de 20 km/h, en carretera puede llegar hasta 90 km/h. y en autopista hasta 110 km/h. Y están diseñados para garantizar el buen transito y evitar accidentes viales. Por ejemplo, al estirar un cable hasta romperlo, se dice que éste sobrepasó su límite de resistencia; si no hubiera fuerza de fricción, un péndulo seguiría oscilando y su movimiento no tendría fin; un globo se revienta cuando alcanza el límite de su capacidad, etcétera.[br][br]Los antiguos griegos hallaban áreas mediante el “método del agotamiento”. Esta técnica consistía en dividir el área  A  de un polígono en varios triángulos, y luego sumar las áreas de estos triángulos. Sin lugar a dudas, era mucho más difícil obtener el área de una figura curva. En este caso, el método del agotamiento consistía en inscribir y circunscribir polígonos en torno a la figura y a continuación hacer que el número de lados de los polígonos aumentara. La figura muestra el método en el caso de un círculo, con polígonos regulares inscritos.[/justify][img]data:image/png;base64,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[/img][br]Llamemos  A  el área del círculo y  A[sub]n[/sub] el área del polígono inscrito con  n  lados. Al aumentar  n  de manera indefinida, parece que  A[sub]n[/sub] se aproxima cada vez más al área del círculo. Decimos que el área del círculo es el límite de las áreas de los polígonos inscritos y escribimos. [br][br] [img]data:image/png;base64,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[/img][br]Los griegos no aplicaron explícitamente los límites.[br][br]Este concepto de limite es fácil de entender, sin embargo, cuando se habla de concepto de limite en términos numéricos a veces es un poco complejo.

Information: 3.1 Noción de límite