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

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

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

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

diverges

Solution steps

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

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

Does not exist

= diverges

x \to \infty lim (e^{a x})

\frac{d}{d x} (ln (x^{2} + 7))

(x^{- 1})^{^{'}}

(x - 1)^{2} (x - 1.05)^{2}

\int \frac{x}{x ^{2} - 7 x + 12} d x

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