What is the limit as x approaches 0 of (1-e^x)/x ?

The limit as x approaches 0 of (1-e^x)/x is -1

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limit as x approaches 0 of (1-e^x)/x

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

- 1

Solution steps

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

Apply L'Hopital's Rule

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

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

Plug in the value

x = 0

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

Simplify

= - 1

f (x) = 1 - 3 x^{[2]}, at x = 0

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What is the limit as x approaches 0 of (1-e^x)/x ?
The limit as x approaches 0 of (1-e^x)/x is -1