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

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

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

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

- \infty

Solution steps

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

For

x

approaching

1

from the left

, x < 1 \Rightarrow ln (x) < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

y = 9 - 6 x, at x = - 1

\int \frac{x ^{6}}{( x - 2 ) ^{2} ( 1 - x ) ^{5}} d x

\frac{d}{d x} (\frac{2 x ^{2}}{x ^{2} - x})

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

\frac{\partial}{\partial x} (\frac{2 x y ^{2}}{2 + x ^{2} y ^{2}})

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