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

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

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

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

\infty

Solution steps

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

Divide by highest denominator power:

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

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

For

x

approaching

2

from the left

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

The denominator is a positive quantity approaching 0 from the right

= \infty

\int \frac{x ^{2}}{289 - x ^{2}} d x

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

(0.4) (2)

\int \frac{x}{x ^{2} - 4} d x

\frac{\partial}{\partial x} (7 tan (x y))

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