Since f(x) is not continuous at x = 1, the function is not continuous in the closed interval [1,4], as a result it cannot be said that the function is bounded in that interval.
Por no ser continua f(x) en x = 1, la función no es continua en el intervalo cerrado [1,4], como consecuencia no podemos afirmar que la función esté acotada en dicho intervalo.
If a function is not continuous at a point in its domain, one says that it has a discontinuity there.
Si una función no es continua en un punto, se dice que la función tiene una discontinuidad en ese punto y que la función es discontinua.
The function is not continuous at x = 0, because it is defined at that point.
La función no es continua en x = 0, porque no está definida en ese punto.
A differentiable function has to be continuous. In this case the function is not continuous for x = 0, that is to say, there are no values for a and b which make the function continuous.
Para qué una función derivable tiene que ser continua En este caso la función no es continua para x = 0 cualesquiera que sean a y b, es decir, no existen valores de a y b que hagan continua la función.
By similar reasoning, this function is not continuous at any integer.
If a function is not continuous at a point in its domain, one says that it has a discontinuity there.
Si una función no es continua en un punto, se dice que la función tiene una discontinuidad en ese punto y que la función es discontinua.
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