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

y^{^{''}} + 6 y^{^{'}} + 9 y = 1 + x

s l o p e (4, - 9), (8, - 3)

\frac{d ^{2} x}{d t ^{2}} - 4 \frac{d x}{d t} = 4 x

\frac{d N}{d t} + N = Nt e^{t + 7}

\int_{- 1}^{0} (2 x - 1) d x

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