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

The limit as x approaches 0-of (ln(x^2))/x is -Does not exist*infinity

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

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

- Does not exist \cdot \infty

Solution steps

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

\frac{ln ( x ^{2} )}{x} = ln (x^{2}) \frac{1}{x}

= x \to 0 - lim (ln (x^{2}) \frac{1}{x})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 - lim (ln (x^{2})) \cdot x \to 0 - lim (\frac{1}{x})

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

Does not exist

x \to 0 - lim (\frac{1}{x}) = - \infty

= Does not exist (- \infty)

Simplify

= - Does not exist \cdot \infty

t a y l or \frac{x ^{2}}{1 - 2 x}

2 x^{^{''}} + 7 x^{^{'}} + 3 x = 0

t an g e n t f (x) = e^{5 x} cos (π x), at x = 0

d er i v a t i v e f (x) = x^{\frac{3}{2}}

d er i v a t i v e \frac{x ^{3}}{x ^{2} + 12}

What is the limit as x approaches 0-of (ln(x^2))/x ?
The limit as x approaches 0-of (ln(x^2))/x is -Does not exist*infinity