e^-x - Wolfram|Alpha

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.

Input

e^(-x)

Roots

(no roots exist)

Periodicity

periodic in x with period 2 i π

Series expansion at x=0

1 - x + x^2/2 - x^3/6 + x^4/24 + O(x^5)
(Taylor series)

Big‐O notation »

Derivative

d/dx(e^(-x)) = -e^(-x)

Indefinite integral

integral e^(-x) dx = -e^(-x) + constant

Limit

lim_(x->∞) e^(-x) = 0

POWERED BY THE WOLFRAM LANGUAGE