What is the limit as x approaches 1-of (-2)/(x-1) ?

The limit as x approaches 1-of (-2)/(x-1) is infinity

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limit as x approaches 1-of (-2)/(x-1)

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

\infty

Solution steps

x \to 1 - lim (\frac{- 2}{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

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

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

x \to 0 lim (\frac{7 ^{x} - 6 ^{x}}{x})

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

x \to - 3 lim (4^{x})

What is the limit as x approaches 1-of (-2)/(x-1) ?
The limit as x approaches 1-of (-2)/(x-1) is infinity