What is the limit as x approaches 0 of x^2ln|x| ?

The limit as x approaches 0 of x^2ln|x| is 0

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limit as x approaches 0 of x^2ln|x|

x \to 0 lim (x^{2} ln ∣ x ∣)

0

Solution steps

x \to 0 lim (x^{2} ln ∣ x ∣)

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (x^{2} ln ∣ x ∣) = 0

x \to 0 + lim (x^{2} ln ∣ x ∣) = 0

= 0

\frac{\partial}{\partial x} (y^{x^{y}})

\frac{d}{d x} (e^{3 x} cos (4 x))

y^{^{''}} - 4 y^{^{'}} + 4 y = t^{- 4} e^{2 t}

t^{2} \cdot e^{- 3 t}

\frac{d}{d x} (\frac{x}{10} - \frac{10}{x})

What is the limit as x approaches 0 of x^2ln|x| ?
The limit as x approaches 0 of x^2ln|x| is 0