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 right

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

y = e^{4 x}

y^{^{''}} + y^{^{'}} = \frac{1}{4} cos (3 t)

\frac{\partial}{\partial x} (e^{2 y - x})

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

\int 5 x^{2} sin (2 x) d x

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