[math-fun] Series convergence test(?)
13 Sep
13 Sep
12:57 a.m.
On 2015-09-12 00:30, Bill Gosper wrote:
Iff Sum[a[k]-a[2k-1]-a[2k]] -> 0. True? Named? --rwg False: Exercise: Construct a divergent sum(a(k)) with sum(a(k)-a(2k)-a(2k-1)) = 0. Named? Simpson's Rule. (Homer's) --rwg Harder: if a[k]:=1/k/log(k) then Sum(k>1)[a[k]-a[2k-1]-a[2k]] = 1/Log[4].
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