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

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

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

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

- 6

Solution steps

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

Plug in the value

x = - 6

= - 6 + 6 - 6

Simplify

= - 6

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