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

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

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

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

- \infty

Solution steps

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

Apply the Limit Chain Rule:

- \infty

= - \infty

θ \to + 0 lim (\frac{sin ( 30 )}{θ})

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

x \to 0 lim (x (\frac{2}{x}))

x \to - 2 lim (\frac{x ^{3} + 8}{x + 8})

x \to 0 lim (\frac{1}{csc ^{3} ( x )})

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