What is the limit as x approaches 0 of (9e^x-9)/x ?

The limit as x approaches 0 of (9e^x-9)/x is 9

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limit as x approaches 0 of (9e^x-9)/x

x \to 0 lim (\frac{9 e ^{x} - 9}{x})

9

Solution steps

x \to 0 lim (\frac{9 e ^{x} - 9}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{9 e ^{x}}{1})

= x \to 0 lim (\frac{9 e ^{x}}{1})

Plug in the value

x = 0

= \frac{9 e ^{0}}{1}

Simplify

= 9

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What is the limit as x approaches 0 of (9e^x-9)/x ?
The limit as x approaches 0 of (9e^x-9)/x is 9