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

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x \to 1000 lim (\frac{1}{x})

θ \to + 0 lim (\frac{sin ( 30 )}{θ})

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

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

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