Infimum Limit
المؤلف:
المرجع الالكتروني للمعلوماتيه
المصدر:
المرجع الالكتروني للمعلوماتيه
الجزء والصفحة:
...
19-9-2018
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Infimum Limit
Given a sequence of real numbers 
, the infimum limit (also called the limit inferior or lower limit), written 
and pronounced 'lim-inf,' is the limit of
as 
. Note that by definition, 
is nondecreasing, and so either has a limit or tends to 
. For example, suppose 
, then for 
odd, 
, and for 
even, 
. Another example is 
, in which case 
is a constant sequence 
.
When 
, the sequence converges to the real number
Otherwise, the sequence does not converge.
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