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 positive quantity approaching 0 from the right

= 6 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

f (x) = ln (x^{8})

\frac{d}{d y} (arctan (x y))

\int - 15 d x

\frac{d}{d x} (x cos (t))

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