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 left

, 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

f (x) = 3 sin^{2} (x)

2 y^{^{''}} + y^{^{'}} - 2 y = 0

x \to 5 lim (cos (x))

y = 2 x^{3 π}

(5 t + 3 y + 3) d t - d y = 0

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