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

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

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

x \to 0 lim (x^{2} \cdot 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

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