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{d y}{d x}, x^{3} y^{5} + 3 x = 8 y^{3} + 1

\int_{0}^{1} \frac{x}{( 2 - x ) ^{2}} d x

\frac{d y}{d x} = x (y - 1)

\frac{d}{d x} (4 sec (x) + tan (x))

x \to 0 lim (\frac{x}{e ^{5 x} - 1})

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