What is the limit as x approaches 0 of x-1/(x-1) ?

The limit as x approaches 0 of x-1/(x-1) is 1

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limit as x approaches 0 of x-1/(x-1)

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

1

Solution steps

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

Plug in the value

x = 0

= 0 - \frac{1}{0 - 1}

Simplify

0 - \frac{1}{0 - 1} : 1

= 1

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What is the limit as x approaches 0 of x-1/(x-1) ?
The limit as x approaches 0 of x-1/(x-1) is 1