What is the limit as t approaches 10 of (t^2+3t-130)/(t^2-100) ?

The limit as t approaches 10 of (t^2+3t-130)/(t^2-100) is 23/20

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limit as t approaches 10 of (t^2+3t-130)/(t^2-100)

t \to 10 lim (\frac{t ^{2} + 3 t - 130}{t ^{2} - 100})

\frac{23}{20}

Decimal

1.15

Solution steps

t \to 10 lim (\frac{t ^{2} + 3 t - 130}{t ^{2} - 100})

Simplify

\frac{t ^{2} + 3 t - 130}{t ^{2} - 100} : \frac{t + 13}{t + 10}

= t \to 10 lim (\frac{t + 13}{t + 10})

Plug in the value

t = 10

= \frac{10 + 13}{10 + 10}

Simplify

= \frac{23}{20}

What is the limit as t approaches 10 of (t^2+3t-130)/(t^2-100) ?
The limit as t approaches 10 of (t^2+3t-130)/(t^2-100) is 23/20