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

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

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

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

diverges

Solution steps

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

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

= diverges

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

\int_{0.2588}^{1} e^{- i π^{2} w s} d w

\int x^{3} ln (1 + x) d x

f (x) = (4 x + 1)^{2}, at x = 0

(x + 1) \cdot ln (x)

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