What is the limit as x approaches 8 of x^{8/3} ?

The limit as x approaches 8 of x^{8/3} is 256

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limit as x approaches 8 of x^{8/3}

x \to 8 lim (x^{\frac{8}{3}})

256

Solution steps

x \to 8 lim (x^{\frac{8}{3}})

Plug in the value

x = 8

= 8^{\frac{8}{3}}

Simplify

8^{\frac{8}{3}} : 256

= 256

(2 x - x^{- 2} y) d x + x^{- 1} d y = 0

\int \frac{2 x ^{3} + x ^{2} + 4}{( x ^{2} + 4 ) ^{2}} d x

\frac{\partial}{\partial x} (x e^{y} - ln (x))

- \frac{1}{x ^{2}}

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

What is the limit as x approaches 8 of x^{8/3} ?
The limit as x approaches 8 of x^{8/3} is 256