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

The limit as x approaches 3 of (ln(1-x))/x is Does not exist

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

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

Does not exist

Solution steps

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

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

then

x \to a lim f (x) = L

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

Does not exist

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

Does not exist

= Does not exist

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

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

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

x \to 3 lim (\frac{( e ^{x} - 1 ) ^{2}}{x})

x \to 3 lim (\frac{1}{e ^{x}})

What is the limit as x approaches 3 of (ln(1-x))/x ?
The limit as x approaches 3 of (ln(1-x))/x is Does not exist