exp(a-b)

Input

exp(a - b)

Exact result

e^(a - b)

Roots

(no roots exist)

Periodicity

periodic in a with period 2 i π periodic in b with period 2 i π

Series expansion at a=0

e^(-b) + a e^(-b) + 1/2 a^2 e^(-b) + 1/6 a^3 e^(-b) + 1/24 a^4 e^(-b) + O(a^5) (Taylor series)
Big‐O notation »

Derivative

d/da(exp(a - b)) = e^(a - b)

Indefinite integral

integral e^(a - b) da = e^(a - b) + constant

Limit

lim_(a->-∞) e^(a - b) = 0
POWERED BY THE WOLFRAM LANGUAGE