What is the limit as x approaches-2 of (5x+2)/(x-2) ?

The limit as x approaches-2 of (5x+2)/(x-2) is 2

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limit as x approaches-2 of (5x+2)/(x-2)

x \to - 2 lim (\frac{5 x + 2}{x - 2})

2

Solution steps

x \to - 2 lim (\frac{5 x + 2}{x - 2})

Plug in the value

x = - 2

= \frac{5 ( - 2 ) + 2}{- 2 - 2}

Simplify

\frac{5 ( - 2 ) + 2}{- 2 - 2} : 2

= 2

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What is the limit as x approaches-2 of (5x+2)/(x-2) ?
The limit as x approaches-2 of (5x+2)/(x-2) is 2