0.92067359420779231894541352271649960

An example of an infinite sum.

∞

x e

∑ ─ = ──── = 0.92067359420779231894541352271649960...

eˣ (e-1)²

x=0

This sum converges.

--TESTS--
|convergence tests| result |
| ratio |series converges absolutely|
| root |series converges absolutely|
| integral |series converges absolutely|
| limit |(inconclusive) |

--Partial sum formula--

∞

x e⁻ⁿ(-en+n+eⁿ⁺¹-e)

∑ ─ = ───────────

eˣ (e-1)²

x=0

Alternate form:

1 1
─────+───── = 0.92067359420779231894541352271649960...

(e-1)² e-1

Person 1: Hey what does 1/(e-1)²+1/e-1?
Person 2: Sure! It's:"0.92067359420779231894541352271649960".
Person 1: Thanks!

by weirdnameith September 14, 2023