What is the limit as x approaches 1 of (x^2-2)^3 ?

The limit as x approaches 1 of (x^2-2)^3 is -1

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limit as x approaches 1 of (x^2-2)^3

x \to 1 lim ((x^{2} - 2)^{3})

- 1

Solution steps

x \to 1 lim ((x^{2} - 2)^{3})

Plug in the value

x = 1

= (1^{2} - 2)^{3}

Simplify

(1^{2} - 2)^{3} : - 1

= - 1

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What is the limit as x approaches 1 of (x^2-2)^3 ?
The limit as x approaches 1 of (x^2-2)^3 is -1