From 0ec226f6f487e433d8119a260e702de0700ed08c Mon Sep 17 00:00:00 2001 From: fede Date: Sun, 14 Apr 2024 22:46:21 -0300 Subject: [PATCH] terminado de resumir todo --- Calculo II/8_4.org | 30 +++++++++++++++++++++++++++--- Calculo II/8_4.pdf | Bin 183608 -> 195937 bytes 2 files changed, 27 insertions(+), 3 deletions(-) diff --git a/Calculo II/8_4.org b/Calculo II/8_4.org index 8a6f2ba..ec69ae2 100644 --- a/Calculo II/8_4.org +++ b/Calculo II/8_4.org @@ -112,8 +112,32 @@ Una funcion es continua si se cumplen estas 3 condiciones 2. \lim_{x \to a} f(x) existe 3. \lim_{x \to a} f(x) = f(a) +** Tipos de Descontinuidades +Sabemos que una funcion es continua al mirar el intervalo del dominio, ya que vemos que es dibujable en un solo trazo. +si en algun punto se rompe podemos asumir que se presenta una discontinuidad en dicho punto. + +Además existen discontinuidades evitables como cuando una recta tiene un solo punto de ruptura o que el valor esta +en otro lado pero ambos limites laterales apuntan al mismo valor que en este caso no estaria siendo representado + +Mientras que cuando los limites laterales apuntan a valores totalmente distintos se llama a eso una Discontinuidad Inevitable. + +** ¿Cuando es deribable una funcion? +Una funcion f(x) es deribable siempre que un f'(x) exista. Una funcion es deribable cuando esta cumple con +que todos los numeros en el intervalo (-\infty, \infty) sean valores posibles. + +*** Ejemplo +¿Es f(x) = |x| deribable? + +No lo es porque. +\begin{center} +f(x) +\left\{\begin{matrix} +1\ si\ x>0\\ +-1\ si\ x<0\\ +indefinido\ si\ x=0 +\end{matrix}\right. +\end{center} + + * Fuente - Ejercicios material de la clase UAI ultra - -* Notas -me quede en la diapositiva 23 de 29 diff --git a/Calculo II/8_4.pdf b/Calculo II/8_4.pdf index 46f07affdf675c5d675e59a97ea517b391574206..07d4c4f0b1e8b028ac104dabdc5e39ee7d49cd26 100644 GIT binary patch delta 94247 zcmZshQ*)pV5N5-PZ5tCC6Wg{ivF+rIZQHh!iH!*-wrv~xZS8LD#qM4IfTy~i?sM8R z;dbBP>J?$Y**TcgQ1Za2fng1qxD5{Yo|!rad%}FThtwQ5B{s%K!B7}hNM$S0Felh5x%lL2l`CR^UhnawiVY&PL!k3zf@1Ux|mZT+tYtz;c2EtSJb*)&x^Y<6P<8%%{;+*FlQ874X7&)&wQB6n_6EH0XCFI)| zbkHu>rp`G@X?FJ~B#Xs6PvY{|#D6KoNGxZaEFPszp#>k3veB!Z?XYEu?D@I@;eQVe zkoT%xDTla=%n;NfKyCZf0$EB@PqZ_I9W2Y6N`A{{XWs8*0C9ye 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