How to simplify SUM(k=0,inf,x^k/k!) ? « Next Oldest | Next Newest »

 ▼ Marcus von Cube, Germany Posting Freak Posts: 3,283 Threads: 104 Joined: Jul 2005 10-11-2006, 04:37 AM Hi 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: ``` oo ----' \ xk | --- / k! ----' k=0 ``` 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. Marcus ▼ Crawl Senior Member Posts: 306 Threads: 3 Joined: Sep 2009 10-11-2006, 10:29 PM 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.

 Possibly Related Threads... Thread Author Replies Views Last Post Prime: sum-of Paul D. Fox 2 580 10-13-2013, 10:22 AM Last Post: Tim Wessman Simplify with sci/eng on hp 50g Juraj O. 11 1,559 11-08-2012, 06:26 PM Last Post: Han SUM function on WP-34S Thomas Scott 11 1,390 04-18-2012, 06:10 PM Last Post: fhub 41CX-MCODE: Digit Sum function Ángel Martin 17 1,987 12-09-2011, 08:06 AM Last Post: Ángel Martin 34S SUM PROD change request ccccc >= fff Egan Ford 6 1,112 10-02-2011, 08:06 AM Last Post: Marcus von Cube, Germany sum of the first n integers Gerson W. Barbosa 18 1,904 06-01-2010, 07:19 PM Last Post: Gerson W. Barbosa Bug in SIMPLIFY? (hp 50g) Luca 6 933 08-20-2009, 05:03 PM Last Post: Nigel J Dowrick How to prevent automatic substitution during SIMPLIFY Luca 2 554 08-17-2009, 02:48 AM Last Post: Luca sum list in 17bii solver equation Don Shepherd 8 1,194 08-14-2007, 03:13 PM Last Post: Don Shepherd 17bii+ bug update and Sum-Of-Digits Bruce Bergman 1 472 02-26-2007, 12:22 AM Last Post: Bruce Bergman

Forum Jump: