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

\frac{\partial}{\partial x} ((3 x^{2} + y) e^{x y^{2}})

(e^{2 t} - e^{t} + t)^{2}

2 x^{2} - 7 x - 195

\int - cos (\frac{π t}{4}) d t

x \to - 2 lim (- x^{2} + 6 x - 8)

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