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

The limit as x approaches 3 of (2x+3)/(x-2) is 9

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

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

9

Solution steps

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

Plug in the value

x = 3

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

Simplify

= 9

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What is the limit as x approaches 3 of (2x+3)/(x-2) ?
The limit as x approaches 3 of (2x+3)/(x-2) is 9