What is the limit as x approaches 2+of (-3)/(x^2-4) ?

The limit as x approaches 2+of (-3)/(x^2-4) is -infinity

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limit as x approaches 2+of (-3)/(x^2-4)

x \to 2 + lim (\frac{- 3}{x ^{2} - 4})

- \infty

Solution steps

x \to 2 + lim (\frac{- 3}{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

a re a y = 2 x + 15, y = x^{2}

f (t) = t + 1

x \to 0 lim (\frac{csc ( x )}{x})

\frac{\partial}{\partial y} (3 e^{x} cos (yz))

d er i v a t i v e y = cos^{2} (x)

What is the limit as x approaches 2+of (-3)/(x^2-4) ?
The limit as x approaches 2+of (-3)/(x^2-4) is -infinity