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

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

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

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

- \infty

Solution steps

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

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

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

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

= - \infty

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