What is the limit as x approaches 0+of (x^2)/4-2/x ?

The limit as x approaches 0+of (x^2)/4-2/x is -infinity

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limit as x approaches 0+of (x^2)/4-2/x

x \to 0 + lim (\frac{x ^{2}}{4} - \frac{2}{x})

- \infty

Solution steps

x \to 0 + lim (\frac{x ^{2}}{4} - \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}}{4}) - x \to 0 + lim (\frac{2}{x})

x \to 0 + lim (\frac{x ^{2}}{4}) = 0

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

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\frac{d}{d x} (x (x + 4))

\int sec^{2} (5 x t a) n^{3} 5 x d x

\int cos (x) cos (5 x) d x

f (x) = x^{2}, (1, 5), 5

\frac{d}{d x} (7^{x} ln^{2} (7))

What is the limit as x approaches 0+of (x^2)/4-2/x ?
The limit as x approaches 0+of (x^2)/4-2/x is -infinity