What is the limit as x approaches-5+of (-2x)/(x+5) ?

The limit as x approaches-5+of (-2x)/(x+5) is infinity

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limit as x approaches-5+of (-2x)/(x+5)

x \to - 5 + lim (\frac{- 2 x}{x + 5})

\infty

Solution steps

x \to - 5 + lim (\frac{- 2 x}{x + 5})

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

= - 2 \cdot x \to - 5 + lim (\frac{x}{x + 5})

Divide by highest denominator power:

\frac{1}{1 + \frac{5}{x}}

= - 2 \cdot x \to - 5 + lim (\frac{1}{1 + \frac{5}{x}})

For

x

approaching

- 5

from the right

, x > - 5 \Rightarrow 1 + \frac{5}{x} < 0

The denominator is a negative quantity approaching 0 from the left

= - 2 (- \infty)

Apply Infinity Property:

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

= \infty

\int 10

x \to 1 - lim (x - 1)

y^{^{'}} = 1 - x + y - x y

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

g (x) = 3 arccos (\frac{x}{2})

What is the limit as x approaches-5+of (-2x)/(x+5) ?
The limit as x approaches-5+of (-2x)/(x+5) is infinity