What is the limit as x approaches 0 of (|x|)/(2x) ?

The limit as x approaches 0 of (|x|)/(2x) 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 (|x|)/(2x)

x \to 0 lim (\frac{∣ x ∣}{2 x})

diverges

Solution steps

x \to 0 lim (\frac{∣ x ∣}{2 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{∣ x ∣}{2 x}) = \frac{1}{2}

x \to 0 - lim (\frac{∣ x ∣}{2 x}) = - \frac{1}{2}

= diverges

\frac{\partial}{\partial x} (2 y + x y + y e^{y} - e^{y})

\int \frac{5}{x ^{2} - 1} d x

\frac{d}{d x} (2^{x} + x)

x \to 2 lim (\frac{1}{x ^{2}})

x \to π lim (\frac{x}{3} - \frac{2 π}{3})

What is the limit as x approaches 0 of (|x|)/(2x) ?
The limit as x approaches 0 of (|x|)/(2x) is diverges