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Popular Calculus >

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

Solution

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

Solution

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})

Plug in the value

t = 0

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

Simplify

= 3

Graph

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Frequently Asked Questions (FAQ)

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