What is the limit as x approaches 4-of (2x)/(x-4) ?

The limit as x approaches 4-of (2x)/(x-4) is -infinity

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limit as x approaches 4-of (2x)/(x-4)

x \to 4 - lim (\frac{2 x}{x - 4})

- \infty

Solution steps

x \to 4 - lim (\frac{2 x}{x - 4})

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

= 2 \cdot x \to 4 - lim (\frac{x}{x - 4})

Divide by highest denominator power:

\frac{1}{1 - \frac{4}{x}}

= 2 \cdot x \to 4 - lim (\frac{1}{1 - \frac{4}{x}})

For

x

approaching

4

from the left

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

The denominator is a negative quantity approaching 0 from the left

= 2 (- \infty)

Apply Infinity Property:

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

= - \infty

f (x) = \frac{7 x}{x - 1}, (2, 14)

\frac{\partial}{\partial x} (sin (8 x) cos (4 y))

\int_{0}^{1} x (\frac{2 ( x + 1 )}{3}) d x

x \to - 2 - lim (3 x + 6 - 6)

x y^{^{'}} + y = e^{x}

What is the limit as x approaches 4-of (2x)/(x-4) ?
The limit as x approaches 4-of (2x)/(x-4) is -infinity