What is the limit as x approaches 1 of \sqrt[6]{2-x} ?

The limit as x approaches 1 of \sqrt[6]{2-x} is 1

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limit as x approaches 1 of \sqrt[6]{2-x}

x \to 1 lim (6 2 - x)

1

Solution steps

x \to 1 lim (6 2 - x)

Plug in the value

x = 1

= 6 2 - 1

Simplify

= 1

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What is the limit as x approaches 1 of \sqrt[6]{2-x} ?
The limit as x approaches 1 of \sqrt[6]{2-x} is 1