What is the limit as x approaches 1/4 of ln(x) ?

The limit as x approaches 1/4 of ln(x) is -2ln(2)

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limit as x approaches 1/4 of ln(x)

x \to \frac{1}{4} lim (ln (x))

- 2 ln (2)

Decimal Notation

- 1.38629 \dots

Solution steps

x \to \frac{1}{4} lim (ln (x))

Plug in the value

x = \frac{1}{4}

= ln (\frac{1}{4})

Simplify

ln (\frac{1}{4}) : - 2 ln (2)

= - 2 ln (2)

x \to 0 lim (1 - 5 x^{3})

x \to 0 lim (\frac{x ^{4} - 2}{x ^{3}})

x \to 0 + lim (\frac{1}{1 + ln ( x )})

x \to 4 lim (4 x^{3} - 3 x^{2} + 1)

x \to 5 lim (x + 6)

What is the limit as x approaches 1/4 of ln(x) ?
The limit as x approaches 1/4 of ln(x) is -2ln(2)