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 diverges

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

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

diverges

Solution steps

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

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

= diverges

\int \frac{- 2 x}{3} d x

y^{^{''}} - 9 y^{^{'}} = 1 + 3 e^{2 x}

\frac{d y}{d x} = \frac{y}{x + 1}

t \to 0 lim (sin (5 t))

\frac{d}{d x} (- 10 sin (2 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 diverges