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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= \frac{0}{0 - 1}

Apply rule

\frac{0}{a} = 0, a \neq = 0

= 0

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