Re: liminf
- From: hagman <google@xxxxxxxxxxxxx>
- Date: Sat, 16 Aug 2008 00:52:37 -0700 (PDT)
On 15 Aug., 22:57, José Carlos Santos <jcsan...@xxxxxxxx> wrote:
On 15-08-2008 21:23, novis wrote:
is liminf(A+B)>=liminf(A)+liminf(B)?
What does this mean? Are you asking whether or not it is true that,
for two real sequences (a_n)_n and (b_n)_n it must be true that
liminf(a_n + b_n) >= liminf(a_n) + liminf(b_n)?
Yes, it is true.
Best regards,
Jose Carlos Santos
... with the caveat of course that it may be the case that
the liminf on the left hand side exists and the ones on the right hand
side don't
(consider a_n = n, b_n = -n).
.
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