What is the limit as x approaches 2+of (6x)/(x-2) ?

The limit as x approaches 2+of (6x)/(x-2) is infinity

Popular >

limit as x approaches 2+of (6x)/(x-2)

x \to 2 + lim (\frac{6 x}{x - 2})

\infty

Solution steps

x \to 2 + lim (\frac{6 x}{x - 2})

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

= 6 \cdot x \to 2 + lim (\frac{x}{x - 2})

Divide by highest denominator power:

\frac{1}{1 - \frac{2}{x}}

= 6 \cdot x \to 2 + lim (\frac{1}{1 - \frac{2}{x}})

For

x

approaching

2

from the right

, x > 2 \Rightarrow 1 - \frac{2}{x} > 0

The denominator is a positive quantity approaching 0 from the right

= 6 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{\partial}{\partial x} (ln (1 + x^{2}) - 2 e^{5 y})

\int \frac{1}{x ( ln ( x ) ) ^{p}} d x

\frac{d}{d y} (c y^{- 6})

x \to 0 lim (cos (x) - sin (x))

\frac{d}{d x} (\frac{e ^{x}}{5 x})

What is the limit as x approaches 2+of (6x)/(x-2) ?
The limit as x approaches 2+of (6x)/(x-2) is infinity