What is the limit as x approaches 2 of (2x-8)/(x-1) ?

The limit as x approaches 2 of (2x-8)/(x-1) is -4

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limit as x approaches 2 of (2x-8)/(x-1)

x \to 2 lim (\frac{2 x - 8}{x - 1})

- 4

Solution steps

x \to 2 lim (\frac{2 x - 8}{x - 1})

Plug in the value

x = 2

= \frac{2 \cdot 2 - 8}{2 - 1}

Simplify

\frac{2 \cdot 2 - 8}{2 - 1} : - 4

= - 4

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What is the limit as x approaches 2 of (2x-8)/(x-1) ?
The limit as x approaches 2 of (2x-8)/(x-1) is -4