What is the limit as x approaches 3 of (x-2)/(x^2-4) ?

The limit as x approaches 3 of (x-2)/(x^2-4) is 1/5

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

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

\frac{1}{5}

Decimal

0.2

Solution steps

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

Plug in the value

x = 3

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

Simplify

= \frac{1}{5}

What is the limit as x approaches 3 of (x-2)/(x^2-4) ?
The limit as x approaches 3 of (x-2)/(x^2-4) is 1/5