Exponential Expansions

Dave's Math Tables: Exponential Expansions

(Math | Calculus | Expansions | Series | Exponent)

Function Summation Expansion Comments

e e= sum (n=0..inf) 1 / n!
= 1/1 + 1/1 + 1/2 + 1/6 + ... see constant e

e ^-1 = (-1) ⁿ / n!
= 1/1 - 1/1 + 1/2 - 1/6 + ...

e ^x = xⁿ / n!
= 1/1 + x/1 + x² / 2 + x³ / 6 + ...

Casa de Bender

Function	Summation Expansion	Comments
e	e= 1 / n! = 1/1 + 1/1 + 1/2 + 1/6 + ...	see constant e
e ^-1	= (-1) ⁿ / n! = 1/1 - 1/1 + 1/2 - 1/6 + ...
e ^x	= xⁿ / n! = 1/1 + x/1 + x² / 2 + x³ / 6 + ...