What is the limit as x approaches 0 of e^{-x}-1 ?

The limit as x approaches 0 of e^{-x}-1 is 0

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limit as x approaches 0 of e^{-x}-1

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

0

Solution steps

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

Plug in the value

x = 0

= e^{- 0} - 1

Simplify

= 0

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x \to \frac{π}{2} - lim (sin (x))

What is the limit as x approaches 0 of e^{-x}-1 ?
The limit as x approaches 0 of e^{-x}-1 is 0