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

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

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

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

- \infty

Solution steps

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

For

x

approaching

2

from the right

, x > 2 \Rightarrow 2 - x < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to - 2 lim (\frac{1}{( x + 2 ) ^{4}})

n \to \infty lim (\frac{1}{0})

x \to 0 lim (\frac{2}{3} x^{2} + 2 x + 1)

x \to 0 + lim ((\frac{4}{x})^{5 x})

x \to 3 lim (\frac{x}{( x - 3 )})

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