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

\int x \cdot e^{- s x} d x

\frac{\partial}{\partial y} (\frac{e ^{y}}{e ^{x} + e ^{y}})

\frac{d}{d x} (3 x^{2} - 2 x + 5)

\int (x y e^{x z}) d z

\int x I n x d x

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