What is the limit as x approaches-2+of sqrt(3x+6)-6 ?

The limit as x approaches-2+of sqrt(3x+6)-6 is -6

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limit as x approaches-2+of sqrt(3x+6)-6

x \to - 2 + lim (3 x + 6 - 6)

- 6

Solution steps

x \to - 2 + lim (3 x + 6 - 6)

Plug in the value

x = - 2

= 3 (- 2) + 6 - 6

Simplify

3 (- 2) + 6 - 6 : - 6

= - 6

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What is the limit as x approaches-2+of sqrt(3x+6)-6 ?
The limit as x approaches-2+of sqrt(3x+6)-6 is -6