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 Notation

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}

\frac{d}{d x} (\frac{e ^{- x}}{1 + x ^{2}})

\int \frac{sec ( x )}{( sec ( x ) - tan ( x ) )} d x

y^{^{'}} + 2 x = 0

\frac{\partial}{\partial t} (s^{2} t^{2})

\int (1 + 2 x)^{2} d x

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