What is the limit as t approaches 0 of 4/t-4/(t^2+t) ?

The limit as t approaches 0 of 4/t-4/(t^2+t) is 4

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limit as t approaches 0 of 4/t-4/(t^2+t)

t \to 0 lim (\frac{4}{t} - \frac{4}{t ^{2} + t})

4

Solution steps

t \to 0 lim (\frac{4}{t} - \frac{4}{t ^{2} + t})

Simplify

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

= t \to 0 lim (\frac{4}{t + 1})

Plug in the value

t = 0

= \frac{4}{0 + 1}

Simplify

= 4

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What is the limit as t approaches 0 of 4/t-4/(t^2+t) ?
The limit as t approaches 0 of 4/t-4/(t^2+t) is 4