検索結果- 英語 - 英語
検索内容:
term limit
limit point
noun
limit superior
limit inferior
lower limit
noun
(mathematical
analysis)
The
lower
limit
of
a
sequence
of
real
numbers
is
the
real
number
which
can
be
found
as
follows:
remove
the
first
term
of
the
sequence
in
order
to
obtain
the
"first
subsequence."
Then
remove
the
first
term
of
the
first
subsequence
in
order
to
obtain
the
"second
subsequence."
Repeat
the
removal
of
first
terms
in
order
to
obtain
a
"third
subsequence,"
"fourth
subsequence,"
etc.
Find
the
infimum
of
each
of
these
subsequences,
then
find
the
supremum
of
all
of
these
infimums.
This
supremum
is
the
lower
limit.
upper limit
noun
(mathematical
analysis)
The
upper
limit
of
a
sequence
of
real
numbers
is
the
real
number
which
can
be
found
as
follows:
remove
the
first
term
of
the
sequence
in
order
to
obtain
the
"first
subsequence."
Then
remove
the
first
term
of
the
first
subsequence
in
order
to
obtain
the
"second
subsequence."
Repeat
the
removal
of
first
terms
in
order
to
obtain
a
"third
subsequence,"
"fourth
subsequence,"
etc.
Find
the
supremum
of
each
of
these
subsequences,
then
find
the
infimum
of
all
of
these
supremums.
This
infimum
is
the
upper
limit.
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