What is the limit as x approaches 3 of sqrt(3x+9) ?

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

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limit as x approaches 3 of sqrt(3x+9)

x \to 3 lim (3 x + 9)

32

Decimal Notation

4.24264 \dots

Solution steps

x \to 3 lim (3 x + 9)

Plug in the value

x = 3

= 3 \cdot 3 + 9

Simplify

3 \cdot 3 + 9 : 32

= 32

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