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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

(5 x^{2} + 4) (3 x - 2)

\int x sin (n x) d x

\frac{d}{d x} (- 2 cot (x))

\frac{1}{7 x ^{\frac{6}{7}}}

8 x e^{x}, 0

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