What is the limit as x approaches 0+of (x^2-15)/x ?

The limit as x approaches 0+of (x^2-15)/x is -infinity

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limit as x approaches 0+of (x^2-15)/x

x \to 0 + lim (\frac{x ^{2} - 15}{x})

- \infty

Solution steps

x \to 0 + lim (\frac{x ^{2} - 15}{x})

Divide by highest denominator power:

x - \frac{15}{x}

= x \to 0 + lim (x - \frac{15}{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 (x) - x \to 0 + lim (\frac{15}{x})

x \to 0 + lim (x) = 0

x \to 0 + lim (\frac{15}{x}) = \infty

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\frac{d}{d x} (x^{2} sin (6 x))

y^{^{''}} + 9 y = x e^{2 x}

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\frac{d}{d z} (x e^{z})

\int (x^{2} + 2 x - 10)^{\frac{2}{3}} (5 x + 5) d x

What is the limit as x approaches 0+of (x^2-15)/x ?
The limit as x approaches 0+of (x^2-15)/x is -infinity