What is the limit as t approaches 0 of (6e^t-6)/t ?

The limit as t approaches 0 of (6e^t-6)/t is 6

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limit as t approaches 0 of (6e^t-6)/t

t \to 0 lim (\frac{6 e ^{t} - 6}{t})

6

Solution steps

t \to 0 lim (\frac{6 e ^{t} - 6}{t})

Apply L'Hopital's Rule

: t \to 0 lim (\frac{6 e ^{t}}{1})

= t \to 0 lim (\frac{6 e ^{t}}{1})

Plug in the value

t = 0

= \frac{6 e ^{0}}{1}

Simplify

= 6

\int - e^{x} cos (x) d x

\int \frac{1 + x}{2 x} d x

\frac{7}{x ^{3}}

10 sin (3 x)

\frac{d y}{d x}, \frac{x}{y} = 9

What is the limit as t approaches 0 of (6e^t-6)/t ?
The limit as t approaches 0 of (6e^t-6)/t is 6