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

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

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

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

- \infty

Solution steps

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

x \to 0 + lim (x) = 0

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

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\frac{\partial}{\partial x} (ln (1 + x^{2} + e^{y} + z))

y = sec (x), (\frac{π}{6}, \frac{2 3}{3})

2 x y^{^{'}} - 8 y = x^{- 4}

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

\int 1 + t^{4} d t

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