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

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

Popular >

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

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

- \infty

Solution steps

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

Divide by highest denominator power:

1 + \frac{3}{x}

= x \to 0 - lim (1 + \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 (1) + x \to 0 - lim (\frac{3}{x})

x \to 0 - lim (1) = 1

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

= 1 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

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

3 t^{2} - 12

y = x^{2}, y = 4 x - x^{2}

\frac{\partial}{\partial y} ((x + y)^{e^{y^{2}}})

\int_{0}^{4} \frac{1}{x} d x

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