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

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

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

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

\frac{1}{4}

Decimal Notation

0.25

Solution steps

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

Simplify

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

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

Plug in the value

t = 2

= \frac{1}{2 + 2}

Simplify

= \frac{1}{4}

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