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

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

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

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

4

Solution steps

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

Simplify

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

= t \to 2 lim (t + 2)

Plug in the value

t = 2

= 2 + 2

Simplify

= 4

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