What is the limit as t approaches 0 of (t^3-3t)/t ?

The limit as t approaches 0 of (t^3-3t)/t is -3

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limit as t approaches 0 of (t^3-3t)/t

t \to 0 lim (\frac{t ^{3} - 3 t}{t})

- 3

Solution steps

t \to 0 lim (\frac{t ^{3} - 3 t}{t})

Simplify

\frac{t ^{3} - 3 t}{t} : t^{2} - 3

= t \to 0 lim (t^{2} - 3)

Plug in the value

t = 0

= 0^{2} - 3

Simplify

= - 3

\frac{d}{d x} ((4 x - 3)^{3})

\frac{\partial}{\partial y} (10 x^{\frac{1}{4}} y^{\frac{3}{4}})

n = 1 \sum \infty \frac{1}{n + e ^{n}}

n = 0 \sum \infty (1)^{n}

f (x) = 3 x^{2} - 4

What is the limit as t approaches 0 of (t^3-3t)/t ?
The limit as t approaches 0 of (t^3-3t)/t is -3