Exponential Expansions

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Exponential Expansions

(Math | Calculus | 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 = sum (n=0..inf) xⁿ / n!
= 1/1 + x/1 + x² / 2 + x³ / 6 + ...