What is the limit as x approaches-3 of \sqrt[3]{x+2} ?

The limit as x approaches-3 of \sqrt[3]{x+2} is cube root of-1

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limit as x approaches-3 of \sqrt[3]{x+2}

x \to - 3 lim (3 x + 2)

3 - 1

Solution steps

x \to - 3 lim (3 x + 2)

Plug in the value

x = - 3

= 3 - 3 + 2

Simplify

= 3 - 1

x \to 0 + lim (\frac{9 x}{∣ x ∣})

x \to 0 lim (\frac{3 x}{2 x})

x \to 0 - lim (x e^{x})

x \to 2 lim (e^{\frac{x}{x - 2}})

x \to 0 lim (\frac{1 - e ^{x}}{3 x})

What is the limit as x approaches-3 of \sqrt[3]{x+2} ?
The limit as x approaches-3 of \sqrt[3]{x+2} is cube root of-1