What is the limit as x approaches 1 of (\sqrt[3]{1-x^2})/(\sqrt[3]{1-x^3)} ?

The limit as x approaches 1 of (\sqrt[3]{1-x^2})/(\sqrt[3]{1-x^3)} is cube root of 2/3

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limit as x approaches 1 of (\sqrt[3]{1-x^2})/(\sqrt[3]{1-x^3)}

Decimal Notation

0.87358 \dots

Solution steps

Simplify

Plug in the value

x = 1

Simplify

\int sin (n x) d x

\int \frac{1}{( 1 + 2 x ^{2} )} d x

x \to \frac{π}{2} + lim (tan (x))

x y^{^{'}} = x e^{x} - 2 y

x \to - 6 lim (x^{2})

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