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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

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

Simplify

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

= 0

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