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 2sqrt(3)i+6

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

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

23 i + 6

Solution steps

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

Plug in the value

x = - 6

= - 6 - 6 - (- 6)

Simplify

- 6 - 6 - (- 6) : 23 i + 6

= 23 i + 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 2sqrt(3)i+6