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

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

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

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

2

Solution steps

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

Plug in the value

x = - 2

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

Simplify

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

= 2

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