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

The limit as t approaches 0 of (t^2+2t)/(t^2-2t) is -1

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

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

- 1

Solution steps

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

Simplify

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

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

Plug in the value

t = 0

= \frac{0 + 2}{0 - 2}

Simplify

= - 1

x \to 0 lim (\frac{13 e ^{2 x} - 13}{e ^{x} - 1})

x \to 0 + lim (cos^{\frac{9}{x ^{2}}} (x))

h \to 0 lim (\frac{( 2 + h ) ^{4 + h} - 16}{h})

x \to 2 lim (x^{2} - 4 x + 1)

x \to 16 lim (\frac{x ^{3} - 2 x ^{2} - 3 x}{x + 5 - 2})

What is the limit as t approaches 0 of (t^2+2t)/(t^2-2t) ?
The limit as t approaches 0 of (t^2+2t)/(t^2-2t) is -1