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

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

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limit as x approaches 0 of h(x)(x^{2/3})

x \to 0 lim (h (x) (x^{\frac{2}{3}}))

0

Solution steps

x \to 0 lim (h (x) x^{\frac{2}{3}})

Plug in the value

x = 0

, assuming the function is continuous at this point

= h (0) \cdot 0^{\frac{2}{3}}

Simplify

= 0

y = x^{3} - x, y = 5 x

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