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

Popular >

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

\int \frac{1}{x ^{2} x ^{2} - 36} d x

f (x) = 25

\frac{1}{x - 1}, 7

\frac{d}{d x} (3 - 3 sin (x))

\int \frac{1}{u ^{2} + 2 u} d u

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