What is the limit as t approaches 0 of 6/t-6/(t^2+t) ?

The limit as t approaches 0 of 6/t-6/(t^2+t) is 6

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limit as t approaches 0 of 6/t-6/(t^2+t)

t \to 0 lim (\frac{6}{t} - \frac{6}{t ^{2} + t})

6

Solution steps

t \to 0 lim (\frac{6}{t} - \frac{6}{t ^{2} + t})

Simplify

\frac{6}{t} - \frac{6}{t ^{2} + t} : \frac{6}{t + 1}

= t \to 0 lim (\frac{6}{t + 1})

Plug in the value

t = 0

= \frac{6}{0 + 1}

Simplify

= 6

What is the limit as t approaches 0 of 6/t-6/(t^2+t) ?
The limit as t approaches 0 of 6/t-6/(t^2+t) is 6