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

The limit as x approaches 0 of x^2(ln(x^2)) is diverges

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

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

diverges

Solution steps

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

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 (x^{2})) = 0

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

Does not exist

= diverges

x \to - 1 lim (x^{3} + 3 x^{2} - 2 x - 5)

x \to 3 lim (x^{\frac{1}{x}})

x \to 2 lim (81)

h \to 0 lim (∣ h ∣)

x \to 0 lim (\frac{x cos ( 5 x )}{sin ( 5 x )})

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