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

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

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

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

3

Solution steps

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

Apply L'Hopital's Rule

: t \to 0 lim (\frac{3 e ^{t}}{1})

= t \to 0 lim (\frac{3 e ^{t}}{1})

Plug in the value

t = 0

= \frac{3 e ^{0}}{1}

Simplify

= 3

\frac{\partial}{\partial x} (sin (5 x y + 8 yz + 9 x z))

\int \frac{1}{x ^{2} + π ^{2}} d x

\frac{\partial}{\partial x} (3^{s i n (3 x)})

\frac{d}{d x} ((4 x + 3)^{5})

(\frac{2}{s} + \frac{1}{s ^{3}})^{2}

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