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 right

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

The denominator is a positive quantity approaching 0 from the right

= - \infty

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

d er i v a t i v e arctan (sin (4 x))

\frac{\partial}{\partial x} (2 + x ln (x y - 7))

\frac{d}{d x} (x^{2} x - 1)

\int \frac{3 x ^{2} + 8 x - 12}{x ^{3} + 7 x + 12 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