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

\int tan (6 x se) c^{2} 6 x d x

\frac{9 e ^{2 w} + e ^{w}}{e ^{w}}

\frac{d y}{d x} = x^{4} y^{- 3}

y^{^{''}} + 2 y^{^{'}} - 3 y = - 2 e^{3 t}

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