#13171: limit of expression that tends to zeta(1/2)
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Reporter: dkrenn | Owner: burcin
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.2
Component: symbolics | Keywords: limit expression sum zeta
mathematica
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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The following cannot be evaluated in Sage
{{{
sage: var('k N')
(k, N)
sage: (sum(1/sqrt(k),k,1,N) - 2*sqrt(N)).limit(N=oo)
limit(-2*sqrt(N) + sum(1/sqrt(k), k, 1, N), N, +Infinity)
}}}
But Mathematica can
{{{
In[1]:= Limit[Sum[1/Sqrt[k], {k, 1, N}] - 2 Sqrt[N], N -> \[Infinity]]
1
Out[1]= Zeta[-]
2
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13171>
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