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

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

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limit as x approaches-4+of x/(x+4)

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

- \infty

Solution steps

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

Divide by highest denominator power:

\frac{1}{1 + \frac{4}{x}}

= x \to - 4 + lim (\frac{1}{1 + \frac{4}{x}})

For

x

approaching

- 4

from the right

, x > - 4 \Rightarrow 1 + \frac{4}{x} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int x e^{x^{2} + 3} d x

\int 3 sec^{2} (3 x) d x

x \to 1 lim (\frac{x}{ln ( x )})

\frac{d}{d x} ((x^{2})^{3})

\frac{d}{d x} (\frac{sec ( x )}{1 + tan ( x )})

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