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
∞
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!
Person 2: Sure! It's:"0.92067359420779231894541352271649960".
Person 1: Thanks!