What is the limit as x approaches 0 of x^2ln(3x) ?

The limit as x approaches 0 of x^2ln(3x) is Does not exist

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limit as x approaches 0 of x^2ln(3x)

x \to 0 lim (x^{2} ln (3 x))

Does not exist

Solution steps

x \to 0 lim (x^{2} ln (3 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^{2} ln (3 x)) = 0

x \to 0 - lim (x^{2} ln (3 x)) =

Does not exist

= Does not exist

x \to 1 lim (\frac{∣ x - 3 ∣}{x - 3})

x \to 0 lim (∣ sin (x) ∣ - \frac{1}{2})

x \to 8 lim (\frac{3}{10})

x \to 0 lim (3 x \cdot cot (3 x))

x \to 0 + lim ((7 x)^{2 x})

What is the limit as x approaches 0 of x^2ln(3x) ?
The limit as x approaches 0 of x^2ln(3x) is Does not exist