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

The limit as t approaches-2 of (t+2)/(t^2-4) is -1/4

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

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

- \frac{1}{4}

Decimal Notation

- 0.25

Solution steps

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

Simplify

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

= t \to - 2 lim (\frac{1}{t - 2})

Plug in the value

t = - 2

= \frac{1}{- 2 - 2}

Simplify

= - \frac{1}{4}

x \frac{d y}{d x} + 10 y = 9 y^{2}, y (1) = - 1

\frac{d y}{d x} + 4 x^{2} y = - 10 x^{2}

\frac{d}{d x} (\frac{( x ^{4} + 2 )}{ln ( x )})

x \to 6 lim (\frac{x}{x - 6})

\int (3 x + 2) cos (5 x) d x

What is the limit as t approaches-2 of (t+2)/(t^2-4) ?
The limit as t approaches-2 of (t+2)/(t^2-4) is -1/4