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 right

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

The denominator is a positive quantity approaching 0 from the right

= 2 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\int \frac{tan ^{3} ( \frac{7}{z} )}{z ^{2}} d z

\frac{\partial}{\partial z} (x e^{2 yz})

\frac{\partial}{\partial x} (\frac{2}{( x - 3 t ) ^{2} + 1})

\frac{5 x + 4}{5 x - 4}

\int (x - 4) d 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