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

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

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

x \to 1 lim (ln (x) - ln (x - 1))

Does not exist

Solution steps

x \to 1 lim (ln (x) - ln (x - 1))

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

then the limit does not exist

x \to 1 + lim (ln (x) - ln (x - 1)) = \infty

x \to 1 - lim (ln (x) - ln (x - 1)) =

Does not exist

= Does not exist

x \to 0 lim (\frac{x}{x ^{2} + y ^{2}})

\int \frac{1}{x ^{2} + 8} d x

\int \frac{1}{x 9 x ^{2} + 1} d x

\int (x^{8}) d x

t an g e n t f (x) = x^{3} - 9 x, (3, 0)

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