What is the limit as x approaches 10^{-4} of ln(x) ?

The limit as x approaches 10^{-4} of ln(x) is -4ln(10)

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limit as x approaches 10^{-4} of ln(x)

x \to 1 0^{- 4} lim (ln (x))

- 4 ln (10)

Decimal Notation

- 9.21034 \dots

Solution steps

x \to 1 0^{- 4} lim (ln (x))

Plug in the value

x = 1 0^{- 4}

= ln (1 0^{- 4})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= - 4 ln (10)

x \to 0 lim (\frac{( 5 x + 5 )}{5})

x \to 0 lim (x e^{\frac{1}{x}} - x)

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

x \to 0 lim (\frac{( 3 - x ) ^{2} - 9}{x})

x \to 3 lim (10 - 4 x)

What is the limit as x approaches 10^{-4} of ln(x) ?
The limit as x approaches 10^{-4} of ln(x) is -4ln(10)