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

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

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

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

\infty

Solution steps

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

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

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

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

= \infty

x \to - \infty lim (e^{x} - 2)

x \to - 8 - lim (\frac{3 - 4 x}{x + 8})

x \to - 2 lim (x^{3} - 3 x^{2} + 4 x - 1)

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

x \to - 1 lim (1 - 4 x)

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