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

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

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

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

3

Solution steps

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

Apply L'Hopital's Rule

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

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

Plug in the value

x = 0

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

Simplify

= 3

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