AngelFish
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« on: 23 September, 2011, 10:42:55 » |
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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. Lim N→∞ e -XN = f(x) The challenge is to get a computer system to properly determine f(x) [after you solve it for yourself first]. |
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« Last Edit: 23 September, 2011, 10:45:32 by Qwerty.55 »
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∂²Ψ -(2m(V(x)-E)Ψ
--- = -------------
∂x² ℏ²Ψ
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phenomist
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« Reply #1 on: 24 September, 2011, 01:32:14 » |
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Also note that f(1)=e  |
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[Disclaimer: I can't program for my life.]
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sqrt(Time)
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« Reply #2 on: 24 September, 2011, 18:41:07 » |
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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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