What is the limit as x approaches 2 of \sqrt[3]{(x^3-8)/(x-2)} ?

The limit as x approaches 2 of \sqrt[3]{(x^3-8)/(x-2)} is cube root of 12

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limit as x approaches 2 of \sqrt[3]{(x^3-8)/(x-2)}

Decimal

2.28942 \dots

Solution steps

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

With the exception of indeterminate form

Simplify

\frac{x ^{3} - 8}{x - 2} : x^{2} + 2 x + 4

Plug in the value

x = 2

Simplify

What is the limit as x approaches 2 of \sqrt[3]{(x^3-8)/(x-2)} ?
The limit as x approaches 2 of \sqrt[3]{(x^3-8)/(x-2)} is cube root of 12