What is the limit as x approaches 2 of \sqrt[6]{x-2} ?

The limit as x approaches 2 of \sqrt[6]{x-2} is 0

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limit as x approaches 2 of \sqrt[6]{x-2}

x \to 2 lim (6 x - 2)

0

Solution steps

x \to 2 lim (6 x - 2)

Plug in the value

x = 2

= 6 2 - 2

Simplify

= 0

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What is the limit as x approaches 2 of \sqrt[6]{x-2} ?
The limit as x approaches 2 of \sqrt[6]{x-2} is 0