What is the limit as x approaches 0+of (x^3+3)/x ?

The limit as x approaches 0+of (x^3+3)/x is infinity

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limit as x approaches 0+of (x^3+3)/x

x \to 0 + lim (\frac{x ^{3} + 3}{x})

\infty

Solution steps

x \to 0 + lim (\frac{x ^{3} + 3}{x})

Divide by highest denominator power:

x^{2} + \frac{3}{x}

= x \to 0 + lim (x^{2} + \frac{3}{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^{2}) + x \to 0 + lim (\frac{3}{x})

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

x \to 0 + lim (\frac{3}{x}) = \infty

= 0 + \infty

Apply Infinity Property:

c + \infty = \infty

= \infty

x \to 4 lim (6 - x)

\frac{d}{d x} (e^{3 x} x)

\frac{d}{d x} (csc (x) \cdot cot (x))

\int \frac{I n x}{x} d x

y^{^{'''}} - y^{^{''}} - 8 y^{^{'}} + 12 y = 0

What is the limit as x approaches 0+of (x^3+3)/x ?
The limit as x approaches 0+of (x^3+3)/x is infinity