What is the limit as t approaches 1 of (t^3-1)/(t-1) ?

The limit as t approaches 1 of (t^3-1)/(t-1) is 3

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limit as t approaches 1 of (t^3-1)/(t-1)

t \to 1 lim (\frac{t ^{3} - 1}{t - 1})

3

Solution steps

t \to 1 lim (\frac{t ^{3} - 1}{t - 1})

Simplify

\frac{t ^{3} - 1}{t - 1} : t^{2} + t + 1

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

Plug in the value

t = 1

= 1^{2} + 1 + 1

Simplify

= 3

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