What is the limit as x approaches 0 of (|sin(x)|)/x ?

The limit as x approaches 0 of (|sin(x)|)/x is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of (|sin(x)|)/x

x \to 0 lim (\frac{∣ sin ( x ) ∣}{x})

diverges

Solution steps

x \to 0 lim (\frac{∣ sin ( x ) ∣}{x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{∣ sin ( x ) ∣}{x}) = 1

x \to 0 - lim (\frac{∣ sin ( x ) ∣}{x}) = - 1

= diverges

\frac{d}{d x} (- \frac{600}{x ^{2}} + 4)

t an g e n t f (x) = 4 x - 3 x^{2}, at x = 2

d er i v a t i v e e^{, at} sin (b t)

\int csc (x) (csc (x) - cot (x)) d x

t an g e n t y = x^{3} - 2 x^{2} + 5, (2, 5)

What is the limit as x approaches 0 of (|sin(x)|)/x ?
The limit as x approaches 0 of (|sin(x)|)/x is diverges