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

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

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

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

- 1

Solution steps

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

Plug in the value

x = 1

= \frac{1}{1 - 2}

Simplify

= - 1

x \to 3 lim (5 x^{3} + 2 x^{2} + x)

x \to - 3 - lim (\frac{- 2 x}{x + 5})

x \to 0 lim (\frac{- 5}{x})

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

x \to 0 lim (arctan (1))

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