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

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

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

x \to 0 + lim (2 - \frac{3}{x ^{\frac{1}{3}}})

- \infty

Solution steps

x \to 0 + lim (2 - \frac{3}{x ^{\frac{1}{3}}})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 + lim (2) - x \to 0 + lim (\frac{3}{x ^{\frac{1}{3}}})

x \to 0 + lim (2) = 2

x \to 0 + lim (\frac{3}{x ^{\frac{1}{3}}}) = \infty

= 2 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

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