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

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

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

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

- \infty

Solution steps

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

For

x

approaching

1

from the left

, x < 1 \Rightarrow x - 1 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

e^{x}, e^{- x}, - 1, 1

2 ln (x)

f (x) = \frac{1}{1 - x}, (2, - 1)

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

\frac{d}{d x} (4^{x} - e^{x} + x^{3})

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