What is the limit as t approaches+0 of 8/t-8/(t^2+t) ?

The limit as t approaches+0 of 8/t-8/(t^2+t) is 8

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limit as t approaches+0 of 8/t-8/(t^2+t)

t \to + 0 lim (\frac{8}{t} - \frac{8}{t ^{2} + t})

8

Solution steps

t \to 0 lim (\frac{8}{t} - \frac{8}{t ^{2} + t})

Simplify

\frac{8}{t} - \frac{8}{t ^{2} + t} : \frac{8}{t + 1}

= t \to 0 lim (\frac{8}{t + 1})

Plug in the value

t = 0

= \frac{8}{0 + 1}

Simplify

= 8

What is the limit as t approaches+0 of 8/t-8/(t^2+t) ?
The limit as t approaches+0 of 8/t-8/(t^2+t) is 8