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

The limit as x approaches 1 of (x^3-1)^{2/3} is 0

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

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

0

Solution steps

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

Plug in the value

x = 1

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

Simplify

= 0

x \to 1 + lim (\frac{1}{x ^{2} - 6 x + 5})

t \to - 1 lim (\frac{t + 1}{∣ t + 1 ∣})

x \to 0 lim (\frac{5 x + sin ( x )}{x})

x \to 0 lim (x^{2} + 4 x)

x \to 0 lim (\frac{( 1 - cos ( 4 x ) )}{5 x ^{2}})

What is the limit as x approaches 1 of (x^3-1)^{2/3} ?
The limit as x approaches 1 of (x^3-1)^{2/3} is 0