What is the limit as t approaches 0 of t/(t^2-t) ?

The limit as t approaches 0 of t/(t^2-t) is -1

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limit as t approaches 0 of t/(t^2-t)

t \to 0 lim (\frac{t}{t ^{2} - t})

- 1

Solution steps

t \to 0 lim (\frac{t}{t ^{2} - t})

Simplify

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

= t \to 0 lim (\frac{1}{t - 1})

Plug in the value

t = 0

= \frac{1}{0 - 1}

Simplify

= - 1

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What is the limit as t approaches 0 of t/(t^2-t) ?
The limit as t approaches 0 of t/(t^2-t) is -1