What is the limit as x approaches-2+of (-6x)/(x+2) ?

The limit as x approaches-2+of (-6x)/(x+2) is infinity

Popular >

limit as x approaches-2+of (-6x)/(x+2)

x \to - 2 + lim (\frac{- 6 x}{x + 2})

\infty

Solution steps

x \to - 2 + lim (\frac{- 6 x}{x + 2})

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

= - 6 \cdot x \to - 2 + lim (\frac{x}{x + 2})

Divide by highest denominator power:

\frac{1}{1 + \frac{2}{x}}

= - 6 \cdot x \to - 2 + lim (\frac{1}{1 + \frac{2}{x}})

For

x

approaching

- 2

from the right

, x > - 2 \Rightarrow 1 + \frac{2}{x} < 0

The denominator is a negative quantity approaching 0 from the left

= - 6 (- \infty)

Apply Infinity Property:

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

= \infty

\int \frac{x}{x ^{4} + 2 x ^{2} + 1} d x

\frac{\partial}{\partial x} (ln (x^{4} + y^{4}) - z)

\frac{\partial}{\partial x} (\frac{3}{x ^{3}})

\frac{d}{d x} (\frac{e ^{x}}{8 x ^{2} + 7})

f (x) = x (\frac{1}{x})

What is the limit as x approaches-2+of (-6x)/(x+2) ?
The limit as x approaches-2+of (-6x)/(x+2) is infinity