What is the limit as x approaches 0+of (x^2)/9-2/x ?

The limit as x approaches 0+of (x^2)/9-2/x is -infinity

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limit as x approaches 0+of (x^2)/9-2/x

x \to 0 + lim (\frac{x ^{2}}{9} - \frac{2}{x})

- \infty

Solution steps

x \to 0 + lim (\frac{x ^{2}}{9} - \frac{2}{x})

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 (\frac{x ^{2}}{9}) - x \to 0 + lim (\frac{2}{x})

x \to 0 + lim (\frac{x ^{2}}{9}) = 0

x \to 0 + lim (\frac{2}{x}) = \infty

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\int 7^{x} d x

\int \frac{1}{x ^{\frac{1}{2}} + x ^{\frac{3}{2}}} d x

\frac{\partial}{\partial x} (5 y^{2})

f (x) = 5 x^{2} - 29, at x = 3

\int_{- \infty}^{0} 13 x e^{3 x} d x

What is the limit as x approaches 0+of (x^2)/9-2/x ?
The limit as x approaches 0+of (x^2)/9-2/x is -infinity