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

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

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

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

- \infty

Solution steps

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

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

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

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

f (x) = 24 x - 4 x

\frac{d}{d x} (4 x^{2} + 9)

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\int (x sin (π) x) d x

\int x^{7} (4^{- x^{8}}) d x

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