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

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

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

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

\infty

Solution steps

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

Divide by highest denominator power:

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

= 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

= \infty

x^{2} - 4 x + 24

\int - \frac{4 x + 10}{f ^{2} ( x ) \cdot x ^{3}}

\int sin (7 x) sin (12 x) d x

\frac{d}{d x} (\frac{x ^{3}}{24} + \frac{2}{x})

\frac{d}{d x} (cos (x y) - 3 y^{4} + 3)

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