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
4.789 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 exponent rule for multiplying two numbers with the same base?
+
What is the vertex of the parabola defined by the function 𝑦 = 2𝑥² - 4𝑥 - 1?
+
What is the value of f(x) at x = 2, given that f(x) = 10^x and f(x) = e^x?
+
New questions in Mathematics