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

The limit as x approaches 4 of (3x+4)/(x-2) is 8

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

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

8

Solution steps

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

Plug in the value

x = 4

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

Simplify

= 8

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What is the limit as x approaches 4 of (3x+4)/(x-2) ?
The limit as x approaches 4 of (3x+4)/(x-2) is 8