What is the limit as x approaches-4+of (-6x)/(x+4) ?

The limit as x approaches-4+of (-6x)/(x+4) is infinity

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limit as x approaches-4+of (-6x)/(x+4)

x \to - 4 + lim (\frac{- 6 x}{x + 4})

\infty

Solution steps

x \to - 4 + lim (\frac{- 6 x}{x + 4})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - 6 \cdot x \to - 4 + lim (\frac{x}{x + 4})

Divide by highest denominator power:

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

= - 6 \cdot 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

= - 6 (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

\frac{\partial}{\partial x} (arctan (\frac{1}{x}))

\int e^{- s t} t sin (t) d t

f (x) = \frac{2}{( 1 - x ) ^{2}}

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

\frac{d}{d x} ((\frac{x + 1}{x - 3})^{2})

What is the limit as x approaches-4+of (-6x)/(x+4) ?
The limit as x approaches-4+of (-6x)/(x+4) is infinity