Question
Show that f (x) = sin(1/x) defined at (0, 1] is continuous.
233
likes1164 views
Answer to a math question Show that f (x) = sin(1/x) defined at (0, 1] is continuous.
Rasheed
4.7105 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
Frequently asked questions (FAQs)
What is the sum of the mixed numbers 3 1/2 and 2 3/4, after factoring the numbers and expressing the result in real numbers?
+
What is the surface area of a rectangular prism with length 5cm, width 3cm, and height 4cm?
+
What is the standard equation for a hyperbola with center (0,0), vertex at (2,0), and asymptotes y = x-2 and y = -x+2?
+
New questions in Mathematics