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

Compute the limit of

\frac{3}{x^{2} - 4}

x \to -2

The limit of

x^{2}

{(-2)}^{2}

when

x \to -2

⇥Let's evaluate:

{(-2)}^{2}

⇥

4

The limit of

x^{2} - 4

4 - 4

when

x \to -2

⇥Let's evaluate:

4 - 4

⇥

0

So the limit of

\frac{3}{x^{2} - 4}

does not exist when

x \to -2

From the left, the limit is

+∞

; from the right, it is

-∞

. They differ: the two-sided limit does not exist

▶Limit:

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