What is the limit as x approaches 0+of ln(x^3) ?

The limit as x approaches 0+of ln(x^3) is -infinity

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limit as x approaches 0+of ln(x^3)

x \to 0 + lim (ln (x^{3}))

- \infty

Solution steps

x \to 0 + lim (ln (x^{3}))

ln (x^{3}) = 3 ln (x)

= x \to 0 + lim (3 ln (x))

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

= 3 \cdot x \to 0 + lim (ln (x))

Apply the common limit:

x \to 0 + lim (ln (x)) = - \infty

= 3 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

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What is the limit as x approaches 0+of ln(x^3) ?
The limit as x approaches 0+of ln(x^3) is -infinity