What is the limit as x approaches 3 of 1/(x-1) ?

The limit as x approaches 3 of 1/(x-1) is 1/2

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limit as x approaches 3 of 1/(x-1)

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Plug in the value

x = 3

= \frac{1}{3 - 1}

Simplify

= \frac{1}{2}

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What is the limit as x approaches 3 of 1/(x-1) ?
The limit as x approaches 3 of 1/(x-1) is 1/2