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HP Forum Archive 16
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|How to simplify SUM(k=0,inf,x^k/k!) ?|
Message #1 Posted by Marcus von Cube, Germany on 11 Oct 2006, 4:37 a.m.
I'm playing around with various CAS implementations and found that it's no so easy to find the simplification for the well known infinite sum:
Is this possible with the 49g+ or any other Erable based CAS?
The Voyage 200 does not do it, while Derive on the PC knows the correct result.
|Re: How to simplify SUM(k=0,inf,x^k/k!) ?|
Message #2 Posted by Crawl on 11 Oct 2006, 10:29 p.m.,
in response to message #1 by Marcus von Cube, Germany
I don't think the 49G+ can do it.
It can at least find sum(n = 1, inf, 1/n^x) for even x.
And it can find various closed forms of finite sums (the geometric series, 1 + 2 + 3 + ... + n = n(n+1)/2, sums of reciprocal triangle numbers, more complicated cases), too.
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