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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 3 lim (x^{2} - 8)

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

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

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

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

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