What is the limit as h approaches 1 of (|h-2|-2)/h ?

The limit as h approaches 1 of (|h-2|-2)/h is -1

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limit as h approaches 1 of (|h-2|-2)/h

h \to 1 lim (\frac{∣ h - 2 ∣ - 2}{h})

- 1

Solution steps

h \to 1 lim (\frac{∣ h - 2 ∣ - 2}{h})

Plug in the value

h = 1

= \frac{∣ 1 - 2 ∣ - 2}{1}

Simplify

\frac{∣ 1 - 2 ∣ - 2}{1} : - 1

= - 1

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What is the limit as h approaches 1 of (|h-2|-2)/h ?
The limit as h approaches 1 of (|h-2|-2)/h is -1