What is the limit as x approaches 0 of x(ln(x)) ?

The limit as x approaches 0 of x(ln(x)) is Does not exist

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limit as x approaches 0 of x(ln(x))

x \to 0 lim (x (ln (x)))

Does not exist

Solution steps

x \to 0 lim (x ln (x))

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

then the limit does not exist

x \to 0 + lim (x ln (x)) = 0

x \to 0 - lim (x ln (x)) =

Does not exist

= Does not exist

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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 Does not exist