What is the limit as x approaches 3 of (4x+2)/(x+4) ?

The limit as x approaches 3 of (4x+2)/(x+4) is 2

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limit as x approaches 3 of (4x+2)/(x+4)

x \to 3 lim (\frac{4 x + 2}{x + 4})

2

Solution steps

x \to 3 lim (\frac{4 x + 2}{x + 4})

Plug in the value

x = 3

= \frac{4 \cdot 3 + 2}{3 + 4}

Simplify

= 2

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What is the limit as x approaches 3 of (4x+2)/(x+4) ?
The limit as x approaches 3 of (4x+2)/(x+4) is 2