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

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

x \to 0 lim (\frac{x ^{2} + 2 ∣ x ∣}{x})

diverges

Solution steps

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

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

= diverges

\int \frac{- 4}{( x ^{2} + 16 )} d x

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

\int \frac{4 x - 3}{x + 1} d x

f (x) = - x^{4} + 18 x^{2} - 11

\frac{6}{s}

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