What is the limit as x approaches 1/3 of ln(x) ?

The limit as x approaches 1/3 of ln(x) is -ln(3)

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limit as x approaches 1/3 of ln(x)

x \to \frac{1}{3} lim (ln (x))

- ln (3)

Decimal Notation

- 1.09861 \dots

Solution steps

x \to \frac{1}{3} lim (ln (x))

Plug in the value

x = \frac{1}{3}

= ln (\frac{1}{3})

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= - ln (3)

x \to 2 lim (\frac{1}{x + 3} + 5)

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

x \to 9 lim (8 x)

x \to \infty lim (x a^{x})

x \to - \infty lim (- 1 \cdot (x))

What is the limit as x approaches 1/3 of ln(x) ?
The limit as x approaches 1/3 of ln(x) is -ln(3)