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

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

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

x \to 0 lim (∣ x ∣ ln ∣ x ∣)

0

Solution steps

x \to 0 lim (∣ x ∣ 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 ∣ ln ∣ x ∣) = 0

x \to 0 + lim (∣ x ∣ ln ∣ x ∣) = 0

= 0

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