What is the limit as x approaches 2-of (-2)/(x^2-4) ?

The limit as x approaches 2-of (-2)/(x^2-4) is infinity

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limit as x approaches 2-of (-2)/(x^2-4)

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

\infty

Solution steps

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

For

x

approaching

2

from the left

, x < 2 \Rightarrow x^{2} - 4 < 0

The denominator is a negative quantity approaching 0 from the left

= \infty

\frac{\partial}{\partial y} (x - 5 y)

x \to 2 lim (7 - 3 x^{2} - x^{3})

\frac{d}{d x} (\frac{1}{4} e^{2 x^{2}})

\frac{\partial}{\partial x} (9 y^{2} - 1 x^{2})

\int \frac{1}{( a + b x ) x} d x

What is the limit as x approaches 2-of (-2)/(x^2-4) ?
The limit as x approaches 2-of (-2)/(x^2-4) is infinity