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

The limit as x approaches 6 of (x-6)^{2/3} is 0

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

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

0

Solution steps

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

Plug in the value

x = 6

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

Simplify

= 0

x \to 0 lim (\frac{3 cos ( x ) - 3}{x})

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

x \to 0 - lim (\frac{( x )}{x})

x \to - 1 lim (∣ 3 x ∣)

x \to 0 lim (x^{2} f (x))

What is the limit as x approaches 6 of (x-6)^{2/3} ?
The limit as x approaches 6 of (x-6)^{2/3} is 0