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

The limit as x approaches 2-of (x-2)/(x^2-4) is 1/4

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

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

\frac{1}{4}

Decimal

0.25

Solution steps

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

Simplify

\frac{x - 2}{x ^{2} - 4} : \frac{1}{x + 2}

= x \to 2 - lim (\frac{1}{x + 2})

Plug in the value

x = 2

= \frac{1}{2 + 2}

Simplify

= \frac{1}{4}

What is the limit as x approaches 2-of (x-2)/(x^2-4) ?
The limit as x approaches 2-of (x-2)/(x^2-4) is 1/4