﻿ A simple problem
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AngelFish
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 « on: 23 September, 2011, 10:42:55 » 0

Here's a little problem I noticed today that's quite easy for humans to solve, but is surprisingly difficult to get from a computer.

LimN→∞ e-XN = f(x)

The challenge is to get a computer system to properly determine f(x) [after you solve it for yourself first].

Spoiler for Symbolic answer for humans:
It's the Boxcar function with limits of (-1,1).
 « Last Edit: 23 September, 2011, 10:45:32 by Qwerty.55 » Logged

∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ
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 « Reply #1 on: 24 September, 2011, 01:32:14 » 0

Also note that f(1)=e
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 « Reply #2 on: 24 September, 2011, 18:41:07 » 0

Wouldn't f(x) be undefined for any x>=1? As you take it to successive powers, it alternates wildly between negative infinity and positive infinity (or at least negative one and positive one), so the limit wouldn't exist.. or am I missing something? :-/
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