What is the limit as x approaches-2 of (x-6)^{2/3} ?

The limit as x approaches-2 of (x-6)^{2/3} is 4(-1)^{2/3}

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limit as x approaches-2 of (x-6)^{2/3}

x \to - 2 lim ((x - 6)^{\frac{2}{3}})

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

Solution steps

x \to - 2 lim ((x - 6)^{\frac{2}{3}})

Plug in the value

x = - 2

= (- 2 - 6)^{\frac{2}{3}}

Simplify

(- 2 - 6)^{\frac{2}{3}} : 4 (- 1)^{\frac{2}{3}}

= 4 (- 1)^{\frac{2}{3}}

y^{^{'}} = 0.2 ln (\frac{2000}{y}) y

\frac{d}{d x} (\frac{6}{1 + cos ( x )})

x \to \infty lim (0)

y^{^{''}} + 8 y^{^{'}} + 16 y = 5 e^{- 4 t}

\int e^{- 19 x} d x

What is the limit as x approaches-2 of (x-6)^{2/3} ?
The limit as x approaches-2 of (x-6)^{2/3} is 4(-1)^{2/3}