Question
Show that f (x) = sin(1/x) defined at (0, 1] is continuous.
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Answer to a math question Show that f (x) = sin(1/x) defined at (0, 1] is continuous.
Rasheed
4.7103 Answers
Para demostrar que la función f(x) = \sin\left(\frac{1}{x}\right) (0,1]
Dado que el seno es una función continua en todos los números reales, la función g(x) = \frac{1}{x} (0,1] x \frac{1}{x} x > 0
Finalmente, al ser la función f(x) = \sin(g(x)) g(x) f(x) = \sin\left(\frac{1}{x}\right) (0,1]
\textbf{Respuesta:} La función f(x) = \sin\left(\frac{1}{x}\right) (0,1]
Dado que el seno es una función continua en todos los números reales, la función
Finalmente, al ser la función
\textbf{Respuesta:} La función
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