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

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

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

x \to 1 lim (\frac{x - 2}{x ^{2} - 4})

\frac{1}{3}

Decimal

0.33333 \dots

Solution steps

x \to 1 lim (\frac{x - 2}{x ^{2} - 4})

Plug in the value

x = 1

= \frac{1 - 2}{1 ^{2} - 4}

Simplify

= \frac{1}{3}

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