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

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

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

x \to 1 + lim (\frac{∣ x - 1 ∣}{x})

0

Solution steps

x \to 1 + lim (\frac{∣ x - 1 ∣}{x})

Plug in the value

x = 1

= \frac{∣ 1 - 1 ∣}{1}

Simplify

\frac{∣ 1 - 1 ∣}{1} : 0

= 0

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